28832 has 24 divisors (see below), whose sum is σ = 61236. Its totient is φ = 13312.

The previous prime is 28817. The next prime is 28837. The reversal of 28832 is 23882.

28832 = T₂₃ + T₂₄ + ... + T₅₆.

It can be written as a sum of positive squares in 2 ways, for example, as 26896 + 1936 = 164^2 + 44^2 .

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 28798 and 28807.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28832.

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

28832 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 518 + ... + 570.

2²⁸⁸³² 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 28832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30618).

28832 is an abundant number, since it is smaller than the sum of its proper divisors (32404).

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

28832 is a wasteful number, since it uses less digits than its factorization.

28832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 72 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 28832 is about 169.7998822143. The cubic root of 28832 is about 30.6637258260.

Subtracting from 28832 its reverse (23882), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 288 and 32, that multiplied together give a square (9216 = 96²).

The spelling of 28832 in words is "twenty-eight thousand, eight hundred thirty-two".