28208 has 20 divisors (see below), whose sum is σ = 57288. Its totient is φ = 13440.

The previous prime is 28201. The next prime is 28211. The reversal of 28208 is 80282.

28208 is nontrivially palindromic in base 15.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 28208.

It is not an unprimeable number, because it can be changed into a prime (28201) by changing a digit.

28208 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 635 + ... + 677.

2²⁸²⁰⁸ is an apocalyptic number.

It is an amenable number.

28208 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (28644).

28208 is a wasteful number, since it uses less digits than its factorization.

28208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 28208 is about 167.9523742017. The cubic root of 28208 is about 30.4408960213.

The spelling of 28208 in words is "twenty-eight thousand, two hundred eight".