11838432 has 48 divisors (see below), whose sum is σ = 31352832. Its totient is φ = 3911040.

The previous prime is 11838413. The next prime is 11838433. The reversal of 11838432 is 23483811.

It is a tau number, because it is divible by the number of its divisors (48).

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 11838432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11838433) 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, 11707 + ... + 12677.

It is an arithmetic number, because the mean of its divisors is an integer number (653184).

Almost surely, 2^11838432 is an apocalyptic number.

11838432 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 11838432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15676416).

11838432 is an abundant number, since it is smaller than the sum of its proper divisors (19514400).

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

11838432 is a wasteful number, since it uses less digits than its factorization.

11838432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1103 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 11838432 is about 3440.7022539011. The cubic root of 11838432 is about 227.9107068008.

The spelling of 11838432 in words is "eleven million, eight hundred thirty-eight thousand, four hundred thirty-two".