28836 has 30 divisors (see below), whose sum is σ = 76230. Its totient is φ = 9504.

The previous prime is 28817. The next prime is 28837. The reversal of 28836 is 63882.

It can be written as a sum of positive squares in only one way, i.e., 20736 + 8100 = 144^2 + 90^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28836.

It is not an unprimeable number, because it can be changed into a prime (28837) by changing a digit.

28836 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 280 + ... + 368.

It is an arithmetic number, because the mean of its divisors is an integer number (2541).

2²⁸⁸³⁶ 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 28836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38115).

28836 is an abundant number, since it is smaller than the sum of its proper divisors (47394).

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

28836 is a wasteful number, since it uses less digits than its factorization.

28836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 94 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 28836 is about 169.8116603770. The cubic root of 28836 is about 30.6651438017.

It can be divided in two parts, 288 and 36, that added together give a square (324 = 18²).

The spelling of 28836 in words is "twenty-eight thousand, eight hundred thirty-six".