628403285164032 has 1024 divisors, whose sum is σ = 2266153408396800. Its totient is φ = 168000749568000.

The previous prime is 628403285163959. The next prime is 628403285164073. The reversal of 628403285164032 is 230461582304826.

628403285164032 is a `hidden beast` number, since 6 + 2 + 84 + 0 + 3 + 2 + 8 + 516 + 40 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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 628403285164032.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18214042782 + ... + 18214077282.

Almost surely, 2^{628403285164032} 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 628403285164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133076704198400).

628403285164032 is an abundant number, since it is smaller than the sum of its proper divisors (1637750123232768).

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

628403285164032 is a wasteful number, since it uses less digits than its factorization.

628403285164032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34737 (or 34703 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 628403285164032 in words is "six hundred twenty-eight trillion, four hundred three billion, two hundred eighty-five million, one hundred sixty-four thousand, thirty-two".