628844636160 has 384 divisors, whose sum is σ = 2407309632000. Its totient is φ = 154791641088.

The previous prime is 628844636137. The next prime is 628844636177. The reversal of 628844636160 is 61636448826.

628844636160 is a `hidden beast` number, since 6 + 2 + 8 + 8 + 446 + 36 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 628844636097 and 628844636106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3506761 + ... + 3681719.

It is an arithmetic number, because the mean of its divisors is an integer number (6269035500).

Almost surely, 2^628844636160 is an apocalyptic number.

628844636160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628844636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203654816000).

628844636160 is an abundant number, since it is smaller than the sum of its proper divisors (1778464995840).

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

628844636160 is a wasteful number, since it uses less digits than its factorization.

628844636160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175008 (or 174982 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 628844636160 in words is "six hundred twenty-eight billion, eight hundred forty-four million, six hundred thirty-six thousand, one hundred sixty".