24928 has 24 divisors (see below), whose sum is σ = 52920. Its totient is φ = 11520.

The previous prime is 24923. The next prime is 24943. The reversal of 24928 is 82942.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24923) by changing a digit.

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, 588 + ... + 628.

It is an arithmetic number, because the mean of its divisors is an integer number (2205).

2²⁴⁹²⁸ 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 24928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26460).

24928 is an abundant number, since it is smaller than the sum of its proper divisors (27992).

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

24928 is a wasteful number, since it uses less digits than its factorization.

24928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 62 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 24928 is about 157.8860348479. The cubic root of 24928 is about 29.2120798209.

It can be divided in two parts, 2492 and 8, that added together give a square (2500 = 50²).

The spelling of 24928 in words is "twenty-four thousand, nine hundred twenty-eight".