13868928 has 64 divisors (see below), whose sum is σ = 40942800. Its totient is φ = 4621824.

The previous prime is 13868903. The next prime is 13868929. The reversal of 13868928 is 82986831.

13868928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13868929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1450 + ... + 5462.

Almost surely, 2^13868928 is an apocalyptic number.

13868928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13868928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20471400).

13868928 is an abundant number, since it is smaller than the sum of its proper divisors (27073872).

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

13868928 is an equidigital number, since it uses as much as digits as its factorization.

13868928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036 (or 4018 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 13868928 is about 3724.1009653338. The cubic root of 13868928 is about 240.2597188408.

The spelling of 13868928 in words is "thirteen million, eight hundred sixty-eight thousand, nine hundred twenty-eight".