13766528 has 32 divisors (see below), whose sum is σ = 27668520. Its totient is φ = 6822400.

The previous prime is 13766521. The next prime is 13766551. The reversal of 13766528 is 82566731.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 13766491 and 13766500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13766521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16358 + ... + 17178.

Almost surely, 2^13766528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13766528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13834260).

13766528 is an abundant number, since it is smaller than the sum of its proper divisors (13901992).

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

13766528 is an equidigital number, since it uses as much as digits as its factorization.

13766528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 954 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 13766528 is about 3710.3272092903. The cubic root of 13766528 is about 239.6669454323. Note that the first 3 decimals are identical.

The spelling of 13766528 in words is "thirteen million, seven hundred sixty-six thousand, five hundred twenty-eight".