328752 has 40 divisors (see below), whose sum is σ = 944880. Its totient is φ = 109440.

The previous prime is 328721. The next prime is 328753. The reversal of 328752 is 257823.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328752.

It is not an unprimeable number, because it can be changed into a prime (328753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52 + ... + 812.

It is an arithmetic number, because the mean of its divisors is an integer number (23622).

2³²⁸⁷⁵² 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 328752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472440).

328752 is an abundant number, since it is smaller than the sum of its proper divisors (616128).

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

328752 is a wasteful number, since it uses less digits than its factorization.

328752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 766 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 328752 is about 573.3689911392. The cubic root of 328752 is about 69.0170090393.

The spelling of 328752 in words is "three hundred twenty-eight thousand, seven hundred fifty-two".