628121700 has 54 divisors (see below), whose sum is σ = 1968815394. Its totient is φ = 167498880.

The previous prime is 628121587. The next prime is 628121713. The reversal of 628121700 is 7121826.

It can be written as a sum of positive squares in 3 ways, for example, as 5419584 + 622702116 = 2328^2 + 24954^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 348057 + ... + 349856.

Almost surely, 2^628121700 is an apocalyptic number.

628121700 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

628121700 is an abundant number, since it is smaller than the sum of its proper divisors (1340693694).

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

628121700 is a wasteful number, since it uses less digits than its factorization.

628121700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697933 (or 697923 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 628121700 is about 25062.3562340016. The cubic root of 628121700 is about 856.4090851162.

The spelling of 628121700 in words is "six hundred twenty-eight million, one hundred twenty-one thousand, seven hundred".