152328 has 32 divisors (see below), whose sum is σ = 416160. Its totient is φ = 46080.

The previous prime is 152311. The next prime is 152363. The reversal of 152328 is 823251.

152328 is nontrivially palindromic in base 15.

It is an unprimeable number.

152328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25 + ... + 552.

It is an arithmetic number, because the mean of its divisors is an integer number (13005).

2¹⁵²³²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208080).

152328 is an abundant number, since it is smaller than the sum of its proper divisors (263832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152328 is a wasteful number, since it uses less digits than its factorization.

152328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 593 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 152328 is about 390.2921982310. The cubic root of 152328 is about 53.4063929279.

Adding to 152328 its reverse (823251), we get a palindrome (975579).

It can be divided in two parts, 1523 and 28, that added together give a palindrome (1551).

The spelling of 152328 in words is "one hundred fifty-two thousand, three hundred twenty-eight".