628742004400 has 60 divisors (see below), whose sum is σ = 1510662585712. Its totient is φ = 251478501120.

The previous prime is 628742004389. The next prime is 628742004403. The reversal of 628742004400 is 4400247826.

628742004400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 628742004400.

It is not an unprimeable number, because it can be changed into a prime (628742004403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6339997 + ... + 6438403.

Almost surely, 2^628742004400 is an apocalyptic number.

It is an amenable number.

628742004400 is an abundant number, since it is smaller than the sum of its proper divisors (881920581312).

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

628742004400 is a wasteful number, since it uses less digits than its factorization.

628742004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114398 (or 114387 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The spelling of 628742004400 in words is "six hundred twenty-eight billion, seven hundred forty-two million, four thousand, four hundred".