628456635 has 48 divisors (see below), whose sum is σ = 1162480800. Its totient is φ = 313155072.

The previous prime is 628456607. The next prime is 628456637. The reversal of 628456635 is 536654826.

628456635 is a `hidden beast` number, since 6 + 2 + 8 + 4 + 5 + 6 + 635 = 666.

It is not a de Polignac number, because 628456635 - 2¹⁵ = 628423867 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (628456637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57381 + ... + 67449.

It is an arithmetic number, because the mean of its divisors is an integer number (24218350).

Almost surely, 2^628456635 is an apocalyptic number.

628456635 is a deficient number, since it is larger than the sum of its proper divisors (534024165).

628456635 is a wasteful number, since it uses less digits than its factorization.

628456635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10172 (or 10169 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 628456635 is about 25069.0373768121. The cubic root of 628456635 is about 856.5612798303.

The spelling of 628456635 in words is "six hundred twenty-eight million, four hundred fifty-six thousand, six hundred thirty-five".