628504900 has 81 divisors (see below), whose sum is σ = 1438931991. Its totient is φ = 238265280.

The previous prime is 628504897. The next prime is 628504913. The reversal of 628504900 is 9405826.

It is a happy number.

The square root of 628504900 is 25070.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2304324 + 626200576 = 1518^2 + 25024^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5766046 + ... + 5766154.

Almost surely, 2^628504900 is an apocalyptic number.

628504900 is the 25070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628504900

628504900 is an abundant number, since it is smaller than the sum of its proper divisors (810427091).

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

628504900 is a wasteful number, since it uses less digits than its factorization.

628504900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The cubic root of 628504900 is about 856.5832070244.

The spelling of 628504900 in words is "six hundred twenty-eight million, five hundred four thousand, nine hundred".