28500 has 48 divisors (see below), whose sum is σ = 87360. Its totient is φ = 7200.

The previous prime is 28499. The next prime is 28513. The reversal of 28500 is 582.

28500 = T₄₅ + T₄₆ + ... + T₆₃.

28500 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 28500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1491 + ... + 1509.

It is an arithmetic number, because the mean of its divisors is an integer number (1820).

2²⁸⁵⁰⁰ is an apocalyptic number.

28500 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 28500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43680).

28500 is an abundant number, since it is smaller than the sum of its proper divisors (58860).

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

28500 is a wasteful number, since it uses less digits than its factorization.

28500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 28500 is about 168.8194301613. The cubic root of 28500 is about 30.5455737214.

It can be divided in two parts, 28 and 500, that added together give a triangular number (528 = T₃₂).

The spelling of 28500 in words is "twenty-eight thousand, five hundred".