328932 has 18 divisors (see below), whose sum is σ = 831558. Its totient is φ = 109632.

The previous prime is 328931. The next prime is 328961. The reversal of 328932 is 239823.

328932 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 181476 + 147456 = 426^2 + 384^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 328896 and 328905.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328932.

It is not an unprimeable number, because it can be changed into a prime (328931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4533 + ... + 4604.

2³²⁸⁹³² is an apocalyptic number.

It is an amenable number.

328932 is an abundant number, since it is smaller than the sum of its proper divisors (502626).

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

328932 is a wasteful number, since it uses less digits than its factorization.

328932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9147 (or 9142 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 328932 is about 573.5259366411. The cubic root of 328932 is about 69.0296029247.

It can be divided in two parts, 3289 and 32, that added together give a triangular number (3321 = T₈₁).

The spelling of 328932 in words is "three hundred twenty-eight thousand, nine hundred thirty-two".