15828 has 12 divisors (see below), whose sum is σ = 36960. Its totient is φ = 5272.

The previous prime is 15823. The next prime is 15859. The reversal of 15828 is 82851.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 15798 and 15807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15823) by changing a digit.

15828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 648 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (3080).

2¹⁵⁸²⁸ is an apocalyptic number.

It is an amenable number.

15828 is an abundant number, since it is smaller than the sum of its proper divisors (21132).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18480).

15828 is a wasteful number, since it uses less digits than its factorization.

15828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1324 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 15828 is about 125.8093796185. The cubic root of 15828 is about 25.1078011550.

The spelling of 15828 in words is "fifteen thousand, eight hundred twenty-eight".