24428832 has 96 divisors (see below), whose sum is σ = 68947200. Its totient is φ = 7550208.

The previous prime is 24428827. The next prime is 24428839. The reversal of 24428832 is 23882442.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 24428793 and 24428802.

It is not an unprimeable number, because it can be changed into a prime (24428839) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107503 + ... + 107729.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 2^24428832 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 24428832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34473600).

24428832 is an abundant number, since it is smaller than the sum of its proper divisors (44518368).

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

24428832 is a wasteful number, since it uses less digits than its factorization.

24428832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 310 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 24428832 is about 4942.5531863603. The cubic root of 24428832 is about 290.1577896757.

The spelling of 24428832 in words is "twenty-four million, four hundred twenty-eight thousand, eight hundred thirty-two".