331362728928 has 960 divisors, whose sum is σ = 1280956723200. Its totient is φ = 83215641600.

The previous prime is 331362728923. The next prime is 331362729109. The reversal of 331362728928 is 829827263133.

331362728928 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 627 + 2 + 8 + 9 + 2 + 8 = 666.

It is a super-2 number, since 2×331362728928² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331362728923) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 303167550 + ... + 303168642.

It is an arithmetic number, because the mean of its divisors is an integer number (1334329920).

Almost surely, 2^331362728928 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 331362728928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640478361600).

331362728928 is an abundant number, since it is smaller than the sum of its proper divisors (949593994272).

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

331362728928 is a wasteful number, since it uses less digits than its factorization.

331362728928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1147 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 331362728928 in words is "three hundred thirty-one billion, three hundred sixty-two million, seven hundred twenty-eight thousand, nine hundred twenty-eight".