328832 has 32 divisors (see below), whose sum is σ = 750720. Its totient is φ = 140544.

The previous prime is 328829. The next prime is 328837. The reversal of 328832 is 238823.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328837) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 713 + ... + 1079.

It is an arithmetic number, because the mean of its divisors is an integer number (23460).

2³²⁸⁸³² is an apocalyptic number.

328832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375360).

328832 is an abundant number, since it is smaller than the sum of its proper divisors (421888).

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

328832 is an equidigital number, since it uses as much as digits as its factorization.

328832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 328832 is about 573.4387499986. The cubic root of 328832 is about 69.0226068891.

Subtracting from 328832 its reverse (238823), we obtain a palindrome (90009).

The spelling of 328832 in words is "three hundred twenty-eight thousand, eight hundred thirty-two".