28624 has 10 divisors (see below), whose sum is σ = 55490. Its totient is φ = 14304.

The previous prime is 28621. The next prime is 28627. The reversal of 28624 is 42682.

28624 is nontrivially palindromic in base 9.

28624 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (28621) and next prime (28627).

It can be written as a sum of positive squares in only one way, i.e., 28224 + 400 = 168^2 + 20^2 .

It is a junction number, because it is equal to n+sod(n) for n = 28595 and 28604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 879 + ... + 910.

It is an arithmetic number, because the mean of its divisors is an integer number (5549).

2²⁸⁶²⁴ is an apocalyptic number.

It is an amenable number.

28624 is a deficient number, since it is larger than the sum of its proper divisors (26866).

28624 is a wasteful number, since it uses less digits than its factorization.

28624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1791 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 28624 is about 169.1862878605. The cubic root of 28624 is about 30.5898096417.

Adding to 28624 its product of digits (768), we get a palindrome (29392).

The spelling of 28624 in words is "twenty-eight thousand, six hundred twenty-four".