31628417832 has 96 divisors (see below), whose sum is σ = 93526392960. Its totient is φ = 9576288000.

The previous prime is 31628417819. The next prime is 31628417837. The reversal of 31628417832 is 23871482613.

31628417832 is a `hidden beast` number, since 3 + 1 + 628 + 4 + 17 + 8 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (31628417837) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 958732 + ... + 991172.

It is an arithmetic number, because the mean of its divisors is an integer number (974233260).

Almost surely, 2^31628417832 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 31628417832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46763196480).

31628417832 is an abundant number, since it is smaller than the sum of its proper divisors (61897975128).

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

31628417832 is a wasteful number, since it uses less digits than its factorization.

31628417832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33695 (or 33688 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 31628417832 in words is "thirty-one billion, six hundred twenty-eight million, four hundred seventeen thousand, eight hundred thirty-two".