628916146650 has 288 divisors, whose sum is σ = 1963456080768. Its totient is φ = 142633574400.

The previous prime is 628916146613. The next prime is 628916146681. The reversal of 628916146650 is 56641619826.

628916146650 is a `hidden beast` number, since 628 + 9 + 1 + 6 + 1 + 4 + 6 + 6 + 5 + 0 = 666.

628916146650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14030674 + ... + 14075426.

It is an arithmetic number, because the mean of its divisors is an integer number (6817555836).

Almost surely, 2^628916146650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628916146650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981728040384).

628916146650 is an abundant number, since it is smaller than the sum of its proper divisors (1334539934118).

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

628916146650 is a wasteful number, since it uses less digits than its factorization.

628916146650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44966 (or 44958 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 628916146650 in words is "six hundred twenty-eight billion, nine hundred sixteen million, one hundred forty-six thousand, six hundred fifty".