24828 has 12 divisors (see below), whose sum is σ = 57960. Its totient is φ = 8272.

The previous prime is 24821. The next prime is 24841. The reversal of 24828 is 82842.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 15.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 24798 and 24807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1023 + ... + 1046.

It is an arithmetic number, because the mean of its divisors is an integer number (4830).

2²⁴⁸²⁸ is an apocalyptic number.

It is an amenable number.

24828 is an abundant number, since it is smaller than the sum of its proper divisors (33132).

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 (28980).

24828 is a wasteful number, since it uses less digits than its factorization.

24828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2074 counting only the distinct ones).

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

The square root of 24828 is about 157.5690324905. The cubic root of 24828 is about 29.1729655330.

Adding to 24828 its product of digits (1024), we get a palindrome (25852).

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

The spelling of 24828 in words is "twenty-four thousand, eight hundred twenty-eight".