628121000901888 has 576 divisors, whose sum is σ = 2025518732168960. Its totient is φ = 193222487162880.

The previous prime is 628121000901869. The next prime is 628121000901971. The reversal of 628121000901888 is 888109000121826.

628121000901888 is a `hidden beast` number, since 628 + 1 + 2 + 1 + 0 + 0 + 0 + 9 + 0 + 1 + 8 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43982977308 + ... + 43982991588.

Almost surely, 2^{628121000901888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628121000901888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012759366084480).

628121000901888 is an abundant number, since it is smaller than the sum of its proper divisors (1397397731267072).

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

628121000901888 is an equidigital number, since it uses as much as digits as its factorization.

628121000901888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20374 (or 20342 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 54.

The spelling of 628121000901888 in words is "six hundred twenty-eight trillion, one hundred twenty-one billion, nine hundred one thousand, eight hundred eighty-eight".