31872065288 has 108 divisors (see below), whose sum is σ = 71069345055. Its totient is φ = 13361029920.

The previous prime is 31872065279. The next prime is 31872065297. The reversal of 31872065288 is 88256027813.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (31872065279) and next prime (31872065297).

It can be written as a sum of positive squares in only one way, i.e., 15936032644 + 15936032644 = 126238^2 + 126238^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=126238.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 250961081 + ... + 250961207.

Almost surely, 2^31872065288 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 31872065288

31872065288 is an abundant number, since it is smaller than the sum of its proper divisors (39197279767).

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

31872065288 is an equidigital number, since it uses as much as digits as its factorization.

31872065288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 50.

Multiplying 31872065288 by its sum of digits (50), we get a square (1593603264400 = 1262380²).

The spelling of 31872065288 in words is "thirty-one billion, eight hundred seventy-two million, sixty-five thousand, two hundred eighty-eight".