628583641382400 has 1920 divisors, whose sum is σ = 2350949049630720. Its totient is φ = 146730221568000.

The previous prime is 628583641382363. The next prime is 628583641382449. The reversal of 628583641382400 is 4283146385826.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 499272152971 + ... + 499272154229.

It is an arithmetic number, because the mean of its divisors is an integer number (1224452630016).

Almost surely, 2^{628583641382400} is an apocalyptic number.

628583641382400 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 628583641382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175474524815360).

628583641382400 is an abundant number, since it is smaller than the sum of its proper divisors (1722365408248320).

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

628583641382400 is a wasteful number, since it uses less digits than its factorization.

628583641382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 60.

The spelling of 628583641382400 in words is "six hundred twenty-eight trillion, five hundred eighty-three billion, six hundred forty-one million, three hundred eighty-two thousand, four hundred".