628263600 has 60 divisors (see below), whose sum is σ = 2012541576. Its totient is φ = 167536640.

The previous prime is 628263553. The next prime is 628263619. The reversal of 628263600 is 6362826.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260577 + ... + 262976.

Almost surely, 2^628263600 is an apocalyptic number.

628263600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

628263600 is an abundant number, since it is smaller than the sum of its proper divisors (1384277976).

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

628263600 is a wasteful number, since it uses less digits than its factorization.

628263600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523574 (or 523563 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 628263600 is about 25065.1870130665. The cubic root of 628263600 is about 856.4735711858.

The spelling of 628263600 in words is "six hundred twenty-eight million, two hundred sixty-three thousand, six hundred".