628971848064 has 320 divisors, whose sum is σ = 2212984778400. Its totient is φ = 173508894720.

The previous prime is 628971848039. The next prime is 628971848107. The reversal of 628971848064 is 460848179826.

628971848064 is a `hidden beast` number, since 6 + 2 + 8 + 97 + 1 + 8 + 480 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 628971847992 and 628971848010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1955284 + ... + 2254124.

Almost surely, 2^628971848064 is an apocalyptic number.

628971848064 is a gapful number since it is divisible by the number (64) 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 628971848064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106492389200).

628971848064 is an abundant number, since it is smaller than the sum of its proper divisors (1584012930336).

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

628971848064 is a wasteful number, since it uses less digits than its factorization.

628971848064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298903 (or 298882 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 628971848064 in words is "six hundred twenty-eight billion, nine hundred seventy-one million, eight hundred forty-eight thousand, sixty-four".