328175120 has 160 divisors (see below), whose sum is σ = 955772160. Its totient is φ = 102021120.

The previous prime is 328175117. The next prime is 328175131. The reversal of 328175120 is 21571823.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443711 + ... + 444449.

It is an arithmetic number, because the mean of its divisors is an integer number (5973576).

Almost surely, 2^328175120 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 328175120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477886080).

328175120 is an abundant number, since it is smaller than the sum of its proper divisors (627597040).

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

328175120 is a wasteful number, since it uses less digits than its factorization.

328175120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 328175120 is about 18115.6043233451. The cubic root of 328175120 is about 689.7661603467.

The spelling of 328175120 in words is "three hundred twenty-eight million, one hundred seventy-five thousand, one hundred twenty".