628867497984000 has 1216 divisors, whose sum is σ = 2315567071494144. Its totient is φ = 150287155200000.

The previous prime is 628867497983987. The next prime is 628867497984053. The reversal of 628867497984000 is 489794768826.

It is a junction number, because it is equal to n+sod(n) for n = 628867497983898 and 628867497983907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76775419905 + ... + 76775428095.

Almost surely, 2^{628867497984000} is an apocalyptic number.

628867497984000 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 628867497984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157783535747072).

628867497984000 is an abundant number, since it is smaller than the sum of its proper divisors (1686699573510144).

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

628867497984000 is an frugal number, since it uses more digits than its factorization.

628867497984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8327 (or 8283 counting only the distinct ones).

The product of its (nonzero) digits is 2341011456, while the sum is 78.

The spelling of 628867497984000 in words is "six hundred twenty-eight trillion, eight hundred sixty-seven billion, four hundred ninety-seven million, nine hundred eighty-four thousand".