331076928 has 168 divisors, whose sum is σ = 1097779872. Its totient is φ = 87284736.

The previous prime is 331076903. The next prime is 331076929. The reversal of 331076928 is 829670133.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×331076928² = 219223864507834368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331076929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120951 + ... + 123657.

It is an arithmetic number, because the mean of its divisors is an integer number (6534404).

Almost surely, 2^331076928 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 331076928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548889936).

331076928 is an abundant number, since it is smaller than the sum of its proper divisors (766702944).

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

331076928 is a wasteful number, since it uses less digits than its factorization.

331076928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 331076928 is about 18195.5194484796. The cubic root of 331076928 is about 691.7932267819.

The spelling of 331076928 in words is "three hundred thirty-one million, seventy-six thousand, nine hundred twenty-eight".