628243881120 has 144 divisors (see below), whose sum is σ = 2159531697960. Its totient is φ = 166308790272.

The previous prime is 628243881107. The next prime is 628243881137. The reversal of 628243881120 is 21188342826.

628243881120 is a `hidden beast` number, since 62 + 82 + 438 + 81 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 622199129616 + 6044751504 = 788796^2 + 77748^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1394985 + ... + 1789544.

Almost surely, 2^628243881120 is an apocalyptic number.

628243881120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

628243881120 is an abundant number, since it is smaller than the sum of its proper divisors (1531287816840).

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

628243881120 is a wasteful number, since it uses less digits than its factorization.

628243881120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3184687 (or 3184676 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 628243881120 in words is "six hundred twenty-eight billion, two hundred forty-three million, eight hundred eighty-one thousand, one hundred twenty".