13829256 has 96 divisors (see below), whose sum is σ = 44703360. Its totient is φ = 3776256.

The previous prime is 13829251. The next prime is 13829261. The reversal of 13829256 is 65292831.

It is an interprime number because it is at equal distance from previous prime (13829251) and next prime (13829261).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13829256.

It is not an unprimeable number, because it can be changed into a prime (13829251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10996 + ... + 12188.

It is an arithmetic number, because the mean of its divisors is an integer number (465660).

Almost surely, 2^13829256 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 13829256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22351680).

13829256 is an abundant number, since it is smaller than the sum of its proper divisors (30874104).

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

13829256 is a wasteful number, since it uses less digits than its factorization.

13829256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1228 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 13829256 is about 3718.7707646479. The cubic root of 13829256 is about 240.0304128126.

The spelling of 13829256 in words is "thirteen million, eight hundred twenty-nine thousand, two hundred fifty-six".