628943445600 has 576 divisors, whose sum is σ = 2192934643200. Its totient is φ = 156219965440.

The previous prime is 628943445587. The next prime is 628943445601. The reversal of 628943445600 is 6544349826.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628943445601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 368017546 + ... + 368019254.

It is an arithmetic number, because the mean of its divisors is an integer number (3807178200).

Almost surely, 2^628943445600 is an apocalyptic number.

628943445600 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 628943445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096467321600).

628943445600 is an abundant number, since it is smaller than the sum of its proper divisors (1563991197600).

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

628943445600 is a wasteful number, since it uses less digits than its factorization.

628943445600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 628943445600 in words is "six hundred twenty-eight billion, nine hundred forty-three million, four hundred forty-five thousand, six hundred".