13628368 has 20 divisors (see below), whose sum is σ = 28436548. Its totient is φ = 6289920.

The previous prime is 13628357. The next prime is 13628371. The reversal of 13628368 is 86382631.

It can be written as a sum of positive squares in 2 ways, for example, as 4700224 + 8928144 = 2168^2 + 2988^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32553 + ... + 32968.

Almost surely, 2^13628368 is an apocalyptic number.

It is an amenable number.

13628368 is an abundant number, since it is smaller than the sum of its proper divisors (14808180).

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

13628368 is a wasteful number, since it uses less digits than its factorization.

13628368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65542 (or 65536 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 13628368 is about 3691.6619563552. The cubic root of 13628368 is about 238.8624874935.

It can be divided in two parts, 1362 and 8368, that added together give a triangular number (9730 = T₁₃₉).

The spelling of 13628368 in words is "thirteen million, six hundred twenty-eight thousand, three hundred sixty-eight".