24728 has 16 divisors (see below), whose sum is σ = 50760. Its totient is φ = 11200.

The previous prime is 24709. The next prime is 24733. The reversal of 24728 is 82742.

It is a super-2 number, since 2×24728² = 1222947968, which contains 22 as substring.

It is a plaindrome in base 12.

It is a congruent number.

It is an unprimeable number.

24728 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, 53 + ... + 228.

2²⁴⁷²⁸ is an apocalyptic number.

It is an amenable number.

24728 is an abundant number, since it is smaller than the sum of its proper divisors (26032).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25380).

24728 is a wasteful number, since it uses less digits than its factorization.

24728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 294 counting only the distinct ones).

The product of its digits is 896, while the sum is 23.

The square root of 24728 is about 157.2513910908. The cubic root of 24728 is about 29.1337460763.

Subtracting from 24728 its product of digits (896), we obtain a palindrome (23832).

The spelling of 24728 in words is "twenty-four thousand, seven hundred twenty-eight".