628603431984 has 640 divisors, whose sum is σ = 2095865856000. Its totient is φ = 178599168000.

The previous prime is 628603431961. The next prime is 628603432001. The reversal of 628603431984 is 489134306826.

628603431984 is a `hidden beast` number, since 6 + 28 + 603 + 4 + 3 + 1 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 628603431984.

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 127 ways as a sum of consecutive naturals, for example, 1201918347 + ... + 1201918869.

It is an arithmetic number, because the mean of its divisors is an integer number (3274790400).

Almost surely, 2^628603431984 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 628603431984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047932928000).

628603431984 is an abundant number, since it is smaller than the sum of its proper divisors (1467262424016).

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

628603431984 is a wasteful number, since it uses less digits than its factorization.

628603431984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 628603431984 in words is "six hundred twenty-eight billion, six hundred three million, four hundred thirty-one thousand, nine hundred eighty-four".