628041927825 has 216 divisors, whose sum is σ = 1276549170624. Its totient is φ = 294465600000.

The previous prime is 628041927817. The next prime is 628041927857. The reversal of 628041927825 is 528729140826.

628041927825 is a `hidden beast` number, since 62 + 80 + 419 + 2 + 78 + 25 = 666.

It is not a de Polignac number, because 628041927825 - 2³ = 628041927817 is a prime.

It is a super-2 number, since 2×628041927825² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 219516895 + ... + 219519755.

It is an arithmetic number, because the mean of its divisors is an integer number (5909949864).

Almost surely, 2^628041927825 is an apocalyptic number.

628041927825 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

628041927825 is an abundant number, since it is smaller than the sum of its proper divisors (648507242799).

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

628041927825 is a wasteful number, since it uses less digits than its factorization.

628041927825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3177 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 628041927825 in words is "six hundred twenty-eight billion, forty-one million, nine hundred twenty-seven thousand, eight hundred twenty-five".