18282432 has 112 divisors (see below), whose sum is σ = 56440832. Its totient is φ = 5114880.

The previous prime is 18282421. The next prime is 18282437. The reversal of 18282432 is 23428281.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a self number, because there is not a number n which added to its sum of digits gives 18282432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18282437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81873 + ... + 82095.

It is an arithmetic number, because the mean of its divisors is an integer number (503936).

Almost surely, 2^18282432 is an apocalyptic number.

18282432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18282432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28220416).

18282432 is an abundant number, since it is smaller than the sum of its proper divisors (38158400).

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

18282432 is a wasteful number, since it uses less digits than its factorization.

18282432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 18282432 is about 4275.7960662314. The cubic root of 18282432 is about 263.4377381588.

The spelling of 18282432 in words is "eighteen million, two hundred eighty-two thousand, four hundred thirty-two".