31957748928 has 336 divisors, whose sum is σ = 113849895744. Its totient is φ = 8360755200.

The previous prime is 31957748923. The next prime is 31957748929. The reversal of 31957748928 is 82984775913.

31957748928 is a `hidden beast` number, since 3 + 19 + 577 + 48 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (31957748923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2529828 + ... + 2542428.

Almost surely, 2^31957748928 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 31957748928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56924947872).

31957748928 is an abundant number, since it is smaller than the sum of its proper divisors (81892146816).

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

31957748928 is a wasteful number, since it uses less digits than its factorization.

31957748928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12680 (or 12667 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 31957748928 in words is "thirty-one billion, nine hundred fifty-seven million, seven hundred forty-eight thousand, nine hundred twenty-eight".