14388768 has 72 divisors (see below), whose sum is σ = 41827968. Its totient is φ = 4689792.

The previous prime is 14388767. The next prime is 14388769. The reversal of 14388768 is 86788341.

It is an interprime number because it is at equal distance from previous prime (14388767) and next prime (14388769).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (14388767) 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 11 ways as a sum of consecutive naturals, for example, 13005 + ... + 14067.

It is an arithmetic number, because the mean of its divisors is an integer number (580944).

Almost surely, 2^14388768 is an apocalyptic number.

14388768 is a gapful number since it is divisible by the number (18) 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 14388768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20913984).

14388768 is an abundant number, since it is smaller than the sum of its proper divisors (27439200).

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

14388768 is a wasteful number, since it uses less digits than its factorization.

14388768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1115 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 14388768 is about 3793.2529575550. The cubic root of 14388768 is about 243.2248084688.

The spelling of 14388768 in words is "fourteen million, three hundred eighty-eight thousand, seven hundred sixty-eight".