331916928 has 256 divisors, whose sum is σ = 1087564800. Its totient is φ = 87588864.

The previous prime is 331916873. The next prime is 331916929. The reversal of 331916928 is 829619133.

It is a super-2 number, since 2×331916928² = 220337694185914368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 331916928.

It is not an unprimeable number, because it can be changed into a prime (331916929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3421776 + ... + 3421872.

It is an arithmetic number, because the mean of its divisors is an integer number (4248300).

Almost surely, 2^331916928 is an apocalyptic number.

331916928 is a gapful number since it is divisible by the number (38) 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 331916928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543782400).

331916928 is an abundant number, since it is smaller than the sum of its proper divisors (755647872).

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

331916928 is a wasteful number, since it uses less digits than its factorization.

331916928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 331916928 is about 18218.5874315217. The cubic root of 331916928 is about 692.3777994264.

The spelling of 331916928 in words is "three hundred thirty-one million, nine hundred sixteen thousand, nine hundred twenty-eight".