13587828 has 48 divisors (see below), whose sum is σ = 34372800. Its totient is φ = 4161024.

The previous prime is 13587817. The next prime is 13587829. The reversal of 13587828 is 82878531.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13587828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13587829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7998 + ... + 9546.

It is an arithmetic number, because the mean of its divisors is an integer number (716100).

Almost surely, 2^13587828 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 13587828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17186400).

13587828 is an abundant number, since it is smaller than the sum of its proper divisors (20784972).

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

13587828 is a wasteful number, since it uses less digits than its factorization.

13587828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1614 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 13587828 is about 3686.1671150397. The cubic root of 13587828 is about 238.6254059664.

The spelling of 13587828 in words is "thirteen million, five hundred eighty-seven thousand, eight hundred twenty-eight".