13815828 has 72 divisors (see below), whose sum is σ = 38388168. Its totient is φ = 4163328.

The previous prime is 13815827. The next prime is 13815871. The reversal of 13815828 is 82851831.

It can be written as a sum of positive squares in 4 ways, for example, as 66564 + 13749264 = 258^2 + 3708^2 .

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 = 13815792 and 13815801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13815821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24526 + ... + 25082.

It is an arithmetic number, because the mean of its divisors is an integer number (533169).

Almost surely, 2^13815828 is an apocalyptic number.

13815828 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 13815828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19194084).

13815828 is an abundant number, since it is smaller than the sum of its proper divisors (24572340).

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

13815828 is a wasteful number, since it uses less digits than its factorization.

13815828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 628 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 13815828 is about 3716.9648908753. The cubic root of 13815828 is about 239.9526990115.

The spelling of 13815828 in words is "thirteen million, eight hundred fifteen thousand, eight hundred twenty-eight".