331598125728 has 384 divisors, whose sum is σ = 1002175856640. Its totient is φ = 106625756160.

The previous prime is 331598125721. The next prime is 331598125739. The reversal of 331598125728 is 827521895133.

331598125728 is a `hidden beast` number, since 3 + 3 + 1 + 59 + 8 + 12 + 572 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (331598125721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 716194425 + ... + 716194887.

It is an arithmetic number, because the mean of its divisors is an integer number (2609832960).

Almost surely, 2^331598125728 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 331598125728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501087928320).

331598125728 is an abundant number, since it is smaller than the sum of its proper divisors (670577730912).

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

331598125728 is a wasteful number, since it uses less digits than its factorization.

331598125728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 763 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 331598125728 in words is "three hundred thirty-one billion, five hundred ninety-eight million, one hundred twenty-five thousand, seven hundred twenty-eight".