14288768 has 64 divisors (see below), whose sum is σ = 31758720. Its totient is φ = 6359040.

The previous prime is 14288767. The next prime is 14288777. The reversal of 14288768 is 86788241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14288767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51446 + ... + 51722.

It is an arithmetic number, because the mean of its divisors is an integer number (496230).

Almost surely, 2^14288768 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 14288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15879360).

14288768 is an abundant number, since it is smaller than the sum of its proper divisors (17469952).

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

14288768 is a wasteful number, since it uses less digits than its factorization.

14288768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 323 counting only the distinct ones).

The product of its digits is 172032, while the sum is 44.

The square root of 14288768 is about 3780.0486769353. The cubic root of 14288768 is about 242.6600381933.

The spelling of 14288768 in words is "fourteen million, two hundred eighty-eight thousand, seven hundred sixty-eight".