628725768000 has 448 divisors, whose sum is σ = 2313017081856. Its totient is φ = 149172480000.

The previous prime is 628725767963. The next prime is 628725768001. The reversal of 628725768000 is 867527826.

It is a happy number.

628725768000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628725768001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12382665 + ... + 12433335.

Almost surely, 2^628725768000 is an apocalyptic number.

628725768000 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 628725768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156508540928).

628725768000 is an abundant number, since it is smaller than the sum of its proper divisors (1684291313856).

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

628725768000 is a wasteful number, since it uses less digits than its factorization.

628725768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50759 (or 50739 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 628725768000 in words is "six hundred twenty-eight billion, seven hundred twenty-five million, seven hundred sixty-eight thousand".