628673896224 has 576 divisors, whose sum is σ = 2110877024256. Its totient is φ = 175633920000.

The previous prime is 628673896223. The next prime is 628673896229. The reversal of 628673896224 is 422698376826.

628673896224 is a `hidden beast` number, since 6 + 28 + 6 + 7 + 389 + 6 + 224 = 666.

628673896224 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (628673896223) 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, 173138889 + ... + 173142519.

It is an arithmetic number, because the mean of its divisors is an integer number (3664717056).

Almost surely, 2^628673896224 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 628673896224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055438512128).

628673896224 is an abundant number, since it is smaller than the sum of its proper divisors (1482203128032).

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

628673896224 is a wasteful number, since it uses less digits than its factorization.

628673896224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3773 (or 3762 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 628673896224 in words is "six hundred twenty-eight billion, six hundred seventy-three million, eight hundred ninety-six thousand, two hundred twenty-four".