18882432 has 96 divisors (see below), whose sum is σ = 55930680. Its totient is φ = 6110208.

The previous prime is 18882421. The next prime is 18882433. The reversal of 18882432 is 23428881.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18882433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42403 + ... + 42845.

Almost surely, 2^18882432 is an apocalyptic number.

18882432 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 18882432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27965340).

18882432 is an abundant number, since it is smaller than the sum of its proper divisors (37048248).

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

18882432 is a wasteful number, since it uses less digits than its factorization.

18882432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 485 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 18882432 is about 4345.3920421522. The cubic root of 18882432 is about 266.2886421465.

The spelling of 18882432 in words is "eighteen million, eight hundred eighty-two thousand, four hundred thirty-two".