628755600 has 480 divisors, whose sum is σ = 2435558400. Its totient is φ = 136857600.

The previous prime is 628755587. The next prime is 628755601. The reversal of 628755600 is 6557826.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (628755601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5768346 + ... + 5768454.

It is an arithmetic number, because the mean of its divisors is an integer number (5074080).

Almost surely, 2^628755600 is an apocalyptic number.

628755600 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 628755600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217779200).

628755600 is an abundant number, since it is smaller than the sum of its proper divisors (1806802800).

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

628755600 is a wasteful number, since it uses less digits than its factorization.

628755600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 628755600 is about 25074.9995014955. Note that the first 3 decimals coincide. The cubic root of 628755600 is about 856.6970840806.

The spelling of 628755600 in words is "six hundred twenty-eight million, seven hundred fifty-five thousand, six hundred".