928316336640 has 2880 divisors, whose sum is σ = 4243734633600. Its totient is φ = 171674173440.

The previous prime is 928316336561. The next prime is 928316336671. The reversal of 928316336640 is 46633613829.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25089630702 + ... + 25089630738.

It is an arithmetic number, because the mean of its divisors is an integer number (1473518970).

Almost surely, 2^928316336640 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 928316336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121867316800).

928316336640 is an abundant number, since it is smaller than the sum of its proper divisors (3315418296960).

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

928316336640 is a wasteful number, since it uses less digits than its factorization.

928316336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 51.

The spelling of 928316336640 in words is "nine hundred twenty-eight billion, three hundred sixteen million, three hundred thirty-six thousand, six hundred forty".