628814602845 has 384 divisors, whose sum is σ = 1439022993408. Its totient is φ = 258660864000.

The previous prime is 628814602817. The next prime is 628814602883. The reversal of 628814602845 is 548206418826.

628814602845 is a `hidden beast` number, since 6 + 28 + 8 + 1 + 4 + 602 + 8 + 4 + 5 = 666.

It is not a de Polignac number, because 628814602845 - 2⁵ = 628814602813 is a prime.

It is a super-2 number, since 2×628814602845² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 628814602791 and 628814602800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 127005120 + ... + 127010070.

It is an arithmetic number, because the mean of its divisors is an integer number (3747455712).

Almost surely, 2^628814602845 is an apocalyptic number.

628814602845 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

628814602845 is an abundant number, since it is smaller than the sum of its proper divisors (810208390563).

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

628814602845 is a wasteful number, since it uses less digits than its factorization.

628814602845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055 (or 5043 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 628814602845 in words is "six hundred twenty-eight billion, eight hundred fourteen million, six hundred two thousand, eight hundred forty-five".