628610900 has 72 divisors (see below), whose sum is σ = 1411576320. Its totient is φ = 242835840.

The previous prime is 628610891. The next prime is 628610911. The reversal of 628610900 is 9016826.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370454 + ... + 372146.

Almost surely, 2^628610900 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 628610900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705788160).

628610900 is an abundant number, since it is smaller than the sum of its proper divisors (782965420).

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

628610900 is a wasteful number, since it uses less digits than its factorization.

628610900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 628610900 is about 25072.1139914448. The cubic root of 628610900 is about 856.6313597733.

The spelling of 628610900 in words is "six hundred twenty-eight million, six hundred ten thousand, nine hundred".