12628638 has 24 divisors (see below), whose sum is σ = 29849976. Its totient is φ = 3826800.

The previous prime is 12628613. The next prime is 12628657. The reversal of 12628638 is 83682621.

12628638 is a `hidden beast` number, since 12 + 6 + 2 + 8 + 638 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31693 + ... + 32088.

It is an arithmetic number, because the mean of its divisors is an integer number (1243749).

Almost surely, 2^12628638 is an apocalyptic number.

12628638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12628638 is an abundant number, since it is smaller than the sum of its proper divisors (17221338).

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

12628638 is a wasteful number, since it uses less digits than its factorization.

12628638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63800 (or 63797 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 12628638 is about 3553.6795015871. The cubic root of 12628638 is about 232.8728391836.

The spelling of 12628638 in words is "twelve million, six hundred twenty-eight thousand, six hundred thirty-eight".