31928870272 has 128 divisors (see below), whose sum is σ = 69831256320. Its totient is φ = 14452992000.

The previous prime is 31928870251. The next prime is 31928870279. The reversal of 31928870272 is 27207882913.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31928870279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20854147 + ... + 20855677.

It is an arithmetic number, because the mean of its divisors is an integer number (545556690).

Almost surely, 2^31928870272 is an apocalyptic number.

31928870272 is a gapful number since it is divisible by the number (32) 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 31928870272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34915628160).

31928870272 is an abundant number, since it is smaller than the sum of its proper divisors (37902386048).

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

31928870272 is a wasteful number, since it uses less digits than its factorization.

31928870272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

The spelling of 31928870272 in words is "thirty-one billion, nine hundred twenty-eight million, eight hundred seventy thousand, two hundred seventy-two".