28248 has 32 divisors (see below), whose sum is σ = 77760. Its totient is φ = 8480.

The previous prime is 28229. The next prime is 28277. The reversal of 28248 is 84282.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28248.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211 + ... + 317.

It is an arithmetic number, because the mean of its divisors is an integer number (2430).

2²⁸²⁴⁸ 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 28248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38880).

28248 is an abundant number, since it is smaller than the sum of its proper divisors (49512).

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

28248 is a wasteful number, since it uses less digits than its factorization.

28248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 28248 is about 168.0714133932. The cubic root of 28248 is about 30.4552780021.

Subtracting from 28248 its sum of digits (24), we obtain a square (28224 = 168²).

It can be divided in two parts, 28 and 248, that added together give a triangular number (276 = T₂₃).

The spelling of 28248 in words is "twenty-eight thousand, two hundred forty-eight".