diff --git a/src/wp-includes/load.php b/src/wp-includes/load.php
index 6699495fc4..ebaaa353a0 100644
--- a/src/wp-includes/load.php
+++ b/src/wp-includes/load.php
@@ -956,7 +956,7 @@ function wp_installing( $is_installing = null ) {
  * Determines if SSL is used.
  *
  * @since 2.6.0
- * @since 4.6.0 Moved from functions.php to load.php
+ * @since 4.6.0 Moved from functions.php to load.php.
  *
  * @return bool True if SSL, otherwise false.
  */
@@ -979,19 +979,26 @@ function is_ssl() {
  * Converts a shorthand byte value to an integer byte value.
  *
  * @since 2.3.0
- * @since 4.6.0 Moved from media.php to load.php
+ * @since 4.6.0 Moved from media.php to load.php.
  *
- * @param string $size A shorthand byte value.
+ * @link http://php.net/manual/en/function.ini-get.php
+ * @link http://php.net/manual/en/faq.using.php#faq.using.shorthandbytes
+ *
+ * @param string $value A (PHP ini) byte value, either shorthand or ordinary.
  * @return int An integer byte value.
  */
-function wp_convert_hr_to_bytes( $size ) {
-	$size  = strtolower( $size );
-	$bytes = (int) $size;
-	if ( strpos( $size, 'k' ) !== false )
-		$bytes = intval( $size ) * KB_IN_BYTES;
-	elseif ( strpos( $size, 'm' ) !== false )
-		$bytes = intval($size) * MB_IN_BYTES;
-	elseif ( strpos( $size, 'g' ) !== false )
-		$bytes = intval( $size ) * GB_IN_BYTES;
-	return $bytes;
+function wp_convert_hr_to_bytes( $value ) {
+	$value = strtolower( trim( $value ) );
+	$bytes = (int) $value;
+
+	if ( false !== strpos( $value, 'g' ) ) {
+		$bytes *= GB_IN_BYTES;
+	} elseif ( false !== strpos( $value, 'm' ) ) {
+		$bytes *= MB_IN_BYTES;
+	} elseif ( false !== strpos( $value, 'k' ) ) {
+		$bytes *= KB_IN_BYTES;
+	}
+
+	// Deal with large (float) values which run into the maximum integer size.
+	return min( $bytes, PHP_INT_MAX );
 }
diff --git a/tests/phpunit/tests/load/convertHrToBytes.php b/tests/phpunit/tests/load/convertHrToBytes.php
new file mode 100644
index 0000000000..17d3559968
--- /dev/null
+++ b/tests/phpunit/tests/load/convertHrToBytes.php
@@ -0,0 +1,66 @@
+<?php
+
+/**
+ * Tests for wp_convert_hr_to_bytes().
+ *
+ * @group load.php
+ */
+class Tests_Functions_Convert_Hr_To_Bytes extends WP_UnitTestCase {
+	/**
+	 * Tests converting (PHP ini) byte values to integer byte values.
+	 *
+	 * @ticket 32075
+	 *
+	 * @dataProvider data_wp_convert_hr_to_bytes
+	 *
+	 * @param int|string $value    The value passed to wp_convert_hr_to_bytes().
+	 * @param int        $expected The expected output of wp_convert_hr_to_bytes().
+	 */
+	function test_wp_convert_hr_to_bytes( $value, $expected ) {
+		$this->assertSame( $expected, wp_convert_hr_to_bytes( $value ) );
+	}
+
+	/**
+	 * Data provider for test_wp_convert_hr_to_bytes().
+	 *
+	 * @return array {
+	 *     @type array {
+	 *         @type int|string $value    The value passed to wp_convert_hr_to_bytes().
+	 *         @type int        $expected The expected output of wp_convert_hr_to_bytes().
+	 *     }
+	 * }
+	 */
+	function data_wp_convert_hr_to_bytes() {
+		$array = array(
+			// Integer input.
+			array( -1, -1 ), // = no memory limit.
+			array( 8388608, 8388608 ), // 8M.
+
+			// String input (memory limit shorthand values).
+			array( '32k', 32768 ),
+			array( '64K', 65536 ),
+			array( '128m', 134217728 ),
+			array( '256M', 268435456 ),
+			array( '1g', 1073741824 ),
+			array( '128m ', 134217728 ), // Leading/trailing whitespace gets trimmed.
+			array( '1024', 1024 ), // No letter will be interpreted as integer value.
+
+			// Edge cases.
+			array( 'g', 0 ),
+			array( 'g1', 0 ),
+			array( 'null', 0 ),
+			array( 'off', 0 ),
+		);
+
+		// Test for running into maximum integer size limit on 32bit systems.
+		if ( 2147483647 === PHP_INT_MAX ) {
+			$array[] = array( '2G', 2147483647 );
+			$array[] = array( '4G', 2147483647 );
+		} else {
+			$array[] = array( '2G', 2147483648 );
+			$array[] = array( '4G', 4294967296 );
+		}
+
+		return $array;
+	}
+}