28825 has 6 divisors (see below), whose sum is σ = 35774. Its totient is φ = 23040.

The previous prime is 28817. The next prime is 28837. The reversal of 28825 is 52882.

It can be written as a sum of positive squares in 3 ways, for example, as 4489 + 24336 = 67^2 + 156^2 .

It is not a de Polignac number, because 28825 - 2³ = 28817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 1153 = 28825 / (2 + 8 + 8 + 2 + 5).

It is a Duffinian number.

28825 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 28825.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 552 + ... + 601.

2²⁸⁸²⁵ is an apocalyptic number.

28825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

28825 is a deficient number, since it is larger than the sum of its proper divisors (6949).

28825 is a wasteful number, since it uses less digits than its factorization.

28825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1158 counting only the distinct ones).

The product of its digits is 1280, while the sum is 25.

The square root of 28825 is about 169.7792684635. The cubic root of 28825 is about 30.6612440528.

It can be divided in two parts, 288 and 25, that added together give a palindrome (313).

The spelling of 28825 in words is "twenty-eight thousand, eight hundred twenty-five".