31528468080 has 320 divisors, whose sum is σ = 113684152320. Its totient is φ = 8016205824.

The previous prime is 31528468061. The next prime is 31528468091. The reversal of 31528468080 is 8086482513.

31528468080 is a `hidden beast` number, since 3 + 1 + 528 + 46 + 8 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19026612 + ... + 19028268.

It is an arithmetic number, because the mean of its divisors is an integer number (355262976).

Almost surely, 2^31528468080 is an apocalyptic number.

31528468080 is a gapful number since it is divisible by the number (30) 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 31528468080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56842076160).

31528468080 is an abundant number, since it is smaller than the sum of its proper divisors (82155684240).

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

31528468080 is a wasteful number, since it uses less digits than its factorization.

31528468080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 31528468080 in words is "thirty-one billion, five hundred twenty-eight million, four hundred sixty-eight thousand, eighty".