28200 has 48 divisors (see below), whose sum is σ = 89280. Its totient is φ = 7360.

The previous prime is 28183. The next prime is 28201. The reversal of 28200 is 282.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 15.

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

28200 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 11 ways as a sum of consecutive naturals, for example, 577 + ... + 623.

It is an arithmetic number, because the mean of its divisors is an integer number (1860).

2²⁸²⁰⁰ is an apocalyptic number.

28200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640).

28200 is an abundant number, since it is smaller than the sum of its proper divisors (61080).

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

28200 is a wasteful number, since it uses less digits than its factorization.

28200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 28200 is about 167.9285562375. The cubic root of 28200 is about 30.4380179938.

Adding to 28200 its reverse (282), we get a palindrome (28482).

Multiplying 28200 by its reverse (282), we get a square (7952400 = 2820²).

28200 divided by its reverse (282) gives a square (100 = 10²).

The spelling of 28200 in words is "twenty-eight thousand, two hundred".