628285672000 has 224 divisors, whose sum is σ = 1779291311616. Its totient is φ = 215283456000.

The previous prime is 628285671991. The next prime is 628285672013. The reversal of 628285672000 is 276582826.

It is a tau number, because it is divible by the number of its divisors (224).

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, 178134237 + ... + 178137763.

It is an arithmetic number, because the mean of its divisors is an integer number (7943264784).

Almost surely, 2^628285672000 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 628285672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889645655808).

628285672000 is an abundant number, since it is smaller than the sum of its proper divisors (1151005639616).

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

628285672000 is a wasteful number, since it uses less digits than its factorization.

628285672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6742 (or 6722 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 628285672000 in words is "six hundred twenty-eight billion, two hundred eighty-five million, six hundred seventy-two thousand".