13806828 has 72 divisors (see below), whose sum is σ = 41655600. Its totient is φ = 3943296.

The previous prime is 13806803. The next prime is 13806833. The reversal of 13806828 is 82860831.

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

It is a junction number, because it is equal to n+sod(n) for n = 13806792 and 13806801.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3988 + ... + 6596.

It is an arithmetic number, because the mean of its divisors is an integer number (578550).

Almost surely, 2^13806828 is an apocalyptic number.

13806828 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 13806828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20827800).

13806828 is an abundant number, since it is smaller than the sum of its proper divisors (27848772).

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

13806828 is a wasteful number, since it uses less digits than its factorization.

13806828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 13806828 is about 3715.7540284578. The cubic root of 13806828 is about 239.9005838241.

The spelling of 13806828 in words is "thirteen million, eight hundred six thousand, eight hundred twenty-eight".