14288384 has 80 divisors (see below), whose sum is σ = 32408640. Its totient is φ = 6236160.

The previous prime is 14288383. The next prime is 14288441. The reversal of 14288384 is 48388241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14288383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242147 + ... + 242205.

It is an arithmetic number, because the mean of its divisors is an integer number (405108).

Almost surely, 2^14288384 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 14288384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204320).

14288384 is an abundant number, since it is smaller than the sum of its proper divisors (18120256).

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

14288384 is an equidigital number, since it uses as much as digits as its factorization.

14288384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its digits is 49152, while the sum is 38.

The square root of 14288384 is about 3779.9978835973. The cubic root of 14288384 is about 242.6578644045.

The spelling of 14288384 in words is "fourteen million, two hundred eighty-eight thousand, three hundred eighty-four".