31808028672 has 400 divisors, whose sum is σ = 109622224800. Its totient is φ = 9003073536.

The previous prime is 31808028647. The next prime is 31808028689. The reversal of 31808028672 is 27682080813.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 297271243 + ... + 297271349.

It is an arithmetic number, because the mean of its divisors is an integer number (274055562).

Almost surely, 2^31808028672 is an apocalyptic number.

31808028672 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 31808028672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54811112400).

31808028672 is an abundant number, since it is smaller than the sum of its proper divisors (77814196128).

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

31808028672 is an frugal number, since it uses more digits than its factorization.

31808028672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 31808028672 in words is "thirty-one billion, eight hundred eight million, twenty-eight thousand, six hundred seventy-two".