31628163840 has 288 divisors, whose sum is σ = 124324386816. Its totient is φ = 6673121280.

The previous prime is 31628163823. The next prime is 31628163899. The reversal of 31628163840 is 4836182613.

It is a super-3 number, since 3×31628163840³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 31628163792 and 31628163801.

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 31 ways as a sum of consecutive naturals, for example, 304185 + ... + 394695.

Almost surely, 2^31628163840 is an apocalyptic number.

31628163840 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 31628163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62162193408).

31628163840 is an abundant number, since it is smaller than the sum of its proper divisors (92696222976).

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

31628163840 is a wasteful number, since it uses less digits than its factorization.

31628163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90555 (or 90541 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 31628163840 in words is "thirty-one billion, six hundred twenty-eight million, one hundred sixty-three thousand, eight hundred forty".