628244497800 has 288 divisors, whose sum is σ = 2135519568000. Its totient is φ = 165500375040.

The previous prime is 628244497789. The next prime is 628244497819. The reversal of 628244497800 is 8794442826.

628244497800 is a `hidden beast` number, since 628 + 2 + 4 + 4 + 4 + 9 + 7 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×628244497800² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104582397 + ... + 104588403.

It is an arithmetic number, because the mean of its divisors is an integer number (7414998500).

Almost surely, 2^628244497800 is an apocalyptic number.

628244497800 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 628244497800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067759784000).

628244497800 is an abundant number, since it is smaller than the sum of its proper divisors (1507275070200).

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

628244497800 is a wasteful number, since it uses less digits than its factorization.

628244497800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6725 (or 6713 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 628244497800 in words is "six hundred twenty-eight billion, two hundred forty-four million, four hundred ninety-seven thousand, eight hundred".