13810528 has 48 divisors (see below), whose sum is σ = 29393280. Its totient is φ = 6363136.

The previous prime is 13810523. The next prime is 13810529. The reversal of 13810528 is 82501831.

13810528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13810496 and 13810505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13810523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28593 + ... + 29071.

It is an arithmetic number, because the mean of its divisors is an integer number (612360).

Almost surely, 2^13810528 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 13810528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696640).

13810528 is an abundant number, since it is smaller than the sum of its proper divisors (15582752).

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

13810528 is a wasteful number, since it uses less digits than its factorization.

13810528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 13810528 is about 3716.2518752098. The cubic root of 13810528 is about 239.9220116974.

The spelling of 13810528 in words is "thirteen million, eight hundred ten thousand, five hundred twenty-eight".