628688981250 has 576 divisors, whose sum is σ = 1993991126400. Its totient is φ = 141523200000.

The previous prime is 628688981203. The next prime is 628688981287. The reversal of 628688981250 is 52189886826.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 287 ways as a sum of consecutive naturals, for example, 623080746 + ... + 623081754.

It is an arithmetic number, because the mean of its divisors is an integer number (3461790150).

Almost surely, 2^628688981250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628688981250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996995563200).

628688981250 is an abundant number, since it is smaller than the sum of its proper divisors (1365302145150).

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

628688981250 is a wasteful number, since it uses less digits than its factorization.

628688981250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 628688981250 in words is "six hundred twenty-eight billion, six hundred eighty-eight million, nine hundred eighty-one thousand, two hundred fifty".