13757828 has 36 divisors (see below), whose sum is σ = 29661660. Its totient is φ = 5548032.

The previous prime is 13757819. The next prime is 13757867. The reversal of 13757828 is 82875731.

13757828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9229444 + 4528384 = 3038^2 + 2128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1268 + ... + 5396.

It is an arithmetic number, because the mean of its divisors is an integer number (823935).

Almost surely, 2^13757828 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 13757828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14830830).

13757828 is an abundant number, since it is smaller than the sum of its proper divisors (15903832).

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

13757828 is a wasteful number, since it uses less digits than its factorization.

13757828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4164 (or 4155 counting only the distinct ones).

The product of its digits is 94080, while the sum is 41.

The square root of 13757828 is about 3709.1546206649. The cubic root of 13757828 is about 239.6164475430.

The spelling of 13757828 in words is "thirteen million, seven hundred fifty-seven thousand, eight hundred twenty-eight".