328392 has 24 divisors (see below), whose sum is σ = 889590. Its totient is φ = 109440.

The previous prime is 328381. The next prime is 328397. The reversal of 328392 is 293823.

It can be written as a sum of positive squares in only one way, i.e., 298116 + 30276 = 546^2 + 174^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328392.

It is not an unprimeable number, because it can be changed into a prime (328397) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2209 + ... + 2352.

2³²⁸³⁹² is an apocalyptic number.

It is an amenable number.

328392 is an abundant number, since it is smaller than the sum of its proper divisors (561198).

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

328392 is a wasteful number, since it uses less digits than its factorization.

328392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4573 (or 4566 counting only the distinct ones).

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

The square root of 328392 is about 573.0549711851. The cubic root of 328392 is about 68.9918074709.

It can be divided in two parts, 3283 and 92, that added together give a cube (3375 = 15³).

The spelling of 328392 in words is "three hundred twenty-eight thousand, three hundred ninety-two".