13728591 has 12 divisors (see below), whose sum is σ = 20366632. Its totient is φ = 8904816.

The previous prime is 13728581. The next prime is 13728607. The reversal of 13728591 is 19582731.

It is not a de Polignac number, because 13728591 - 2¹⁵ = 13695823 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13728511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20281 + ... + 20946.

Almost surely, 2^13728591 is an apocalyptic number.

13728591 is a deficient number, since it is larger than the sum of its proper divisors (6638041).

13728591 is a wasteful number, since it uses less digits than its factorization.

13728591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41270 (or 41267 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 13728591 is about 3705.2113300053. The cubic root of 13728591 is about 239.4465894674.

The spelling of 13728591 in words is "thirteen million, seven hundred twenty-eight thousand, five hundred ninety-one".