328975920 has 240 divisors, whose sum is σ = 1360037952. Its totient is φ = 69396480.

The previous prime is 328975909. The next prime is 328975931. The reversal of 328975920 is 29579823.

It is an interprime number because it is at equal distance from previous prime (328975909) and next prime (328975931).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63010 + ... + 68030.

Almost surely, 2^328975920 is an apocalyptic number.

328975920 is a gapful number since it is divisible by the number (30) 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 328975920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680018976).

328975920 is an abundant number, since it is smaller than the sum of its proper divisors (1031062032).

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

328975920 is a wasteful number, since it uses less digits than its factorization.

328975920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5060 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 328975920 is about 18137.6933483836. The cubic root of 328975920 is about 690.3267513538.

The spelling of 328975920 in words is "three hundred twenty-eight million, nine hundred seventy-five thousand, nine hundred twenty".