628325683200 has 1092 divisors, whose sum is σ = 2464516598640. Its totient is φ = 158376591360.

The previous prime is 628325683187. The next prime is 628325683309. The reversal of 628325683200 is 2386523826.

628325683200 is a `hidden beast` number, since 6 + 2 + 83 + 2 + 568 + 3 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1418342179 + ... + 1418342621.

Almost surely, 2^628325683200 is an apocalyptic number.

628325683200 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 628325683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232258299320).

628325683200 is an abundant number, since it is smaller than the sum of its proper divisors (1836190915440).

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

628325683200 is an equidigital number, since it uses as much as digits as its factorization.

628325683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 628325683200 in words is "six hundred twenty-eight billion, three hundred twenty-five million, six hundred eighty-three thousand, two hundred".