13829928 has 64 divisors (see below), whose sum is σ = 39813120. Its totient is φ = 3921600.

The previous prime is 13829917. The next prime is 13829947. The reversal of 13829928 is 82992831.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 13829928.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31873 + ... + 32303.

It is an arithmetic number, because the mean of its divisors is an integer number (622080).

Almost surely, 2^13829928 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 13829928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19906560).

13829928 is an abundant number, since it is smaller than the sum of its proper divisors (25983192).

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

13829928 is a wasteful number, since it uses less digits than its factorization.

13829928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 634 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 13829928 is about 3718.8611159870. The cubic root of 13829928 is about 240.0343006531.

The spelling of 13829928 in words is "thirteen million, eight hundred twenty-nine thousand, nine hundred twenty-eight".