28608 has 28 divisors (see below), whose sum is σ = 76200. Its totient is φ = 9472.

The previous prime is 28607. The next prime is 28619. The reversal of 28608 is 80682.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28603) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 118 + ... + 266.

2²⁸⁶⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38100).

28608 is an abundant number, since it is smaller than the sum of its proper divisors (47592).

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

28608 is a wasteful number, since it uses less digits than its factorization.

28608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 28608 is about 169.1389960949. The cubic root of 28608 is about 30.5841089689.

It can be divided in two parts, 28 and 608, that added together give a palindrome (636).

The spelling of 28608 in words is "twenty-eight thousand, six hundred eight".