13886928 has 90 divisors (see below), whose sum is σ = 42772002. Its totient is φ = 4202880.

The previous prime is 13886921. The next prime is 13886933. The reversal of 13886928 is 82968831.

It can be written as a sum of positive squares in only one way, i.e., 11778624 + 2108304 = 3432^2 + 1452^2 .

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 (13886921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17026 + ... + 17822.

Almost surely, 2^13886928 is an apocalyptic number.

13886928 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 13886928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21386001).

13886928 is an abundant number, since it is smaller than the sum of its proper divisors (28885074).

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

13886928 is a wasteful number, since it uses less digits than its factorization.

13886928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 813 counting only the distinct ones).

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

The square root of 13886928 is about 3726.5168723622. The cubic root of 13886928 is about 240.3636154875.

The spelling of 13886928 in words is "thirteen million, eight hundred eighty-six thousand, nine hundred twenty-eight".