31928510016 has 840 divisors, whose sum is σ = 115361298360. Its totient is φ = 8639447040.

The previous prime is 31928509993. The next prime is 31928510023. The reversal of 31928510016 is 61001582913.

It can be written as a sum of positive squares in 4 ways, for example, as 3905750016 + 28022760000 = 62496^2 + 167400^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 119 ways as a sum of consecutive naturals, for example, 1029951921 + ... + 1029951951.

It is an arithmetic number, because the mean of its divisors is an integer number (137334879).

Almost surely, 2^31928510016 is an apocalyptic number.

31928510016 is a gapful number since it is divisible by the number (36) 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 31928510016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57680649180).

31928510016 is an abundant number, since it is smaller than the sum of its proper divisors (83432788344).

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

31928510016 is a wasteful number, since it uses less digits than its factorization.

31928510016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 31928510016 in words is "thirty-one billion, nine hundred twenty-eight million, five hundred ten thousand, sixteen".