11928384 has 168 divisors, whose sum is σ = 38831520. Its totient is φ = 3608064.

The previous prime is 11928383. The next prime is 11928401. The reversal of 11928384 is 48382911.

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 (11928383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202147 + ... + 202205.

It is an arithmetic number, because the mean of its divisors is an integer number (231140).

Almost surely, 2^11928384 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 11928384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19415760).

11928384 is an abundant number, since it is smaller than the sum of its proper divisors (26903136).

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

11928384 is an equidigital number, since it uses as much as digits as its factorization.

11928384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 11928384 is about 3453.7492671009. The cubic root of 11928384 is about 228.4864958255.

The spelling of 11928384 in words is "eleven million, nine hundred twenty-eight thousand, three hundred eighty-four".