24288 has 48 divisors (see below), whose sum is σ = 72576. Its totient is φ = 7040.

The previous prime is 24281. The next prime is 24317. The reversal of 24288 is 88242.

24288 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1045 + ... + 1067.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

2²⁴²⁸⁸ 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 24288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288).

24288 is an abundant number, since it is smaller than the sum of its proper divisors (48288).

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

24288 is a wasteful number, since it uses less digits than its factorization.

24288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 39 counting only the distinct ones).

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

The square root of 24288 is about 155.8460779102. The cubic root of 24288 is about 28.9599129043.

The spelling of 24288 in words is "twenty-four thousand, two hundred eighty-eight".