628444406304 has 768 divisors, whose sum is σ = 2194915000320. Its totient is φ = 173877580800.

The previous prime is 628444406237. The next prime is 628444406321. The reversal of 628444406304 is 403604444826.

628444406304 is a `hidden beast` number, since 6 + 2 + 8 + 4 + 4 + 4 + 4 + 0 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 628444406304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1898623419 + ... + 1898623749.

It is an arithmetic number, because the mean of its divisors is an integer number (2857962240).

Almost surely, 2^628444406304 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 628444406304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097457500160).

628444406304 is an abundant number, since it is smaller than the sum of its proper divisors (1566470594016).

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

628444406304 is a wasteful number, since it uses less digits than its factorization.

628444406304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 628444406304 in words is "six hundred twenty-eight billion, four hundred forty-four million, four hundred six thousand, three hundred four".