328976928 has 288 divisors, whose sum is σ = 1174642560. Its totient is φ = 85155840.

The previous prime is 328976903. The next prime is 328976941. The reversal of 328976928 is 829679823.

It is a happy number.

328976928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 993723 + ... + 994053.

It is an arithmetic number, because the mean of its divisors is an integer number (4078620).

Almost surely, 2^328976928 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 328976928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587321280).

328976928 is an abundant number, since it is smaller than the sum of its proper divisors (845665632).

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

328976928 is a wasteful number, since it uses less digits than its factorization.

328976928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 389 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 328976928 is about 18137.7211357987. The cubic root of 328976928 is about 690.3274564192.

The spelling of 328976928 in words is "three hundred twenty-eight million, nine hundred seventy-six thousand, nine hundred twenty-eight".