28824 has 16 divisors (see below), whose sum is σ = 72120. Its totient is φ = 9600.

The previous prime is 28817. The next prime is 28837. The reversal of 28824 is 42882.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1201 = 28824 / (2 + 8 + 8 + 2 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 28794 and 28803.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28824.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 577 + ... + 624.

2²⁸⁸²⁴ is an apocalyptic number.

28824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28824 is an abundant number, since it is smaller than the sum of its proper divisors (43296).

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 (36060).

28824 is a wasteful number, since it uses less digits than its factorization.

28824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1206 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 28824 is about 169.7763234376. The cubic root of 28824 is about 30.6608894809.

The spelling of 28824 in words is "twenty-eight thousand, eight hundred twenty-four".