628853138400 has 576 divisors, whose sum is σ = 2273929459200. Its totient is φ = 150231121920.

The previous prime is 628853138399. The next prime is 628853138429. The reversal of 628853138400 is 4831358826.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 628853138400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93339832 + ... + 93346568.

It is an arithmetic number, because the mean of its divisors is an integer number (3947794200).

Almost surely, 2^628853138400 is an apocalyptic number.

628853138400 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 628853138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136964729600).

628853138400 is an abundant number, since it is smaller than the sum of its proper divisors (1645076320800).

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

628853138400 is a wasteful number, since it uses less digits than its factorization.

628853138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6891 (or 6878 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 628853138400 in words is "six hundred twenty-eight billion, eight hundred fifty-three million, one hundred thirty-eight thousand, four hundred".