28424832 has 64 divisors (see below), whose sum is σ = 76540800. Its totient is φ = 9345024.

The previous prime is 28424831. The next prime is 28424839. The reversal of 28424832 is 23842482.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 28424793 and 28424802.

It is not an unprimeable number, because it can be changed into a prime (28424831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29868 + ... + 30804.

It is an arithmetic number, because the mean of its divisors is an integer number (1195950).

Almost surely, 2^28424832 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 28424832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38270400).

28424832 is an abundant number, since it is smaller than the sum of its proper divisors (48115968).

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

28424832 is an equidigital number, since it uses as much as digits as its factorization.

28424832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1021 counting only the distinct ones).

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

The square root of 28424832 is about 5331.4943496172. The cubic root of 28424832 is about 305.1869569526.

The spelling of 28424832 in words is "twenty-eight million, four hundred twenty-four thousand, eight hundred thirty-two".