628167052800 has 1680 divisors, whose sum is σ = 2728616964480. Its totient is φ = 140281528320.

The previous prime is 628167052729. The next prime is 628167052811. The reversal of 628167052800 is 8250761826.

628167052800 is a `hidden beast` number, since 62 + 8 + 1 + 67 + 0 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 3853785519 + ... + 3853785681.

Almost surely, 2^628167052800 is an apocalyptic number.

628167052800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628167052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364308482240).

628167052800 is an abundant number, since it is smaller than the sum of its proper divisors (2100449911680).

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

628167052800 is an equidigital number, since it uses as much as digits as its factorization.

628167052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 628167052800 in words is "six hundred twenty-eight billion, one hundred sixty-seven million, fifty-two thousand, eight hundred".