28296 has 32 divisors (see below), whose sum is σ = 79200. Its totient is φ = 9360.

The previous prime is 28289. The next prime is 28297. The reversal of 28296 is 69282.

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28296.

It is not an unprimeable number, because it can be changed into a prime (28297) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 151 + ... + 281.

It is an arithmetic number, because the mean of its divisors is an integer number (2475).

2²⁸²⁹⁶ 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 28296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39600).

28296 is an abundant number, since it is smaller than the sum of its proper divisors (50904).

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

28296 is a wasteful number, since it uses less digits than its factorization.

28296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 28296 is about 168.2141492265. The cubic root of 28296 is about 30.4725184688.

It can be divided in two parts, 282 and 96, that multiplied together give a palindrome (27072).

The spelling of 28296 in words is "twenty-eight thousand, two hundred ninety-six".