13800828 has 48 divisors (see below), whose sum is σ = 34707456. Its totient is φ = 4255680.

The previous prime is 13800799. The next prime is 13800841. The reversal of 13800828 is 82800831.

It is a junction number, because it is equal to n+sod(n) for n = 13800795 and 13800804.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7750 + ... + 9362.

It is an arithmetic number, because the mean of its divisors is an integer number (723072).

Almost surely, 2^13800828 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 13800828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17353728).

13800828 is an abundant number, since it is smaller than the sum of its proper divisors (20906628).

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

13800828 is a wasteful number, since it uses less digits than its factorization.

13800828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 13800828 is about 3714.9465675834. The cubic root of 13800828 is about 239.8658277827.

The spelling of 13800828 in words is "thirteen million, eight hundred thousand, eight hundred twenty-eight".