268868628 has 72 divisors (see below), whose sum is σ = 803537280. Its totient is φ = 74168640.

The previous prime is 268868581. The next prime is 268868653. The reversal of 268868628 is 826868862.

268868628 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 6 + 8 + 628 = 666.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11088 + ... + 25703.

It is an arithmetic number, because the mean of its divisors is an integer number (11160240).

Almost surely, 2^268868628 is an apocalyptic number.

268868628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

268868628 is an abundant number, since it is smaller than the sum of its proper divisors (534668652).

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

268868628 is a wasteful number, since it uses less digits than its factorization.

268868628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36837 (or 36832 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 268868628 is about 16397.2140316579. The cubic root of 268868628 is about 645.4263775364.

The spelling of 268868628 in words is "two hundred sixty-eight million, eight hundred sixty-eight thousand, six hundred twenty-eight".