13928824 has 96 divisors (see below), whose sum is σ = 34564320. Its totient is φ = 5121792.

The previous prime is 13928791. The next prime is 13928833. The reversal of 13928824 is 42882931.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262782 + ... + 262834.

It is an arithmetic number, because the mean of its divisors is an integer number (360045).

Almost surely, 2^13928824 is an apocalyptic number.

13928824 is a gapful number since it is divisible by the number (14) 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 13928824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17282160).

13928824 is an abundant number, since it is smaller than the sum of its proper divisors (20635496).

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

13928824 is a wasteful number, since it uses less digits than its factorization.

13928824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 13928824 is about 3732.1339740154. The cubic root of 13928824 is about 240.6050935126.

The spelling of 13928824 in words is "thirteen million, nine hundred twenty-eight thousand, eight hundred twenty-four".