14628384 has 48 divisors (see below), whose sum is σ = 42668640. Its totient is φ = 4875840.

The previous prime is 14628379. The next prime is 14628389. The reversal of 14628384 is 48382641.

14628384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14628379) and next prime (14628389).

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

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 not an unprimeable number, because it can be changed into a prime (14628389) 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, 7602 + ... + 9329.

It is an arithmetic number, because the mean of its divisors is an integer number (888930).

Almost surely, 2^14628384 is an apocalyptic number.

It is an amenable number.

14628384 is an abundant number, since it is smaller than the sum of its proper divisors (28040256).

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

14628384 is a wasteful number, since it uses less digits than its factorization.

14628384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16950 (or 16936 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 14628384 is about 3824.7070476051. The cubic root of 14628384 is about 244.5675224703.

The spelling of 14628384 in words is "fourteen million, six hundred twenty-eight thousand, three hundred eighty-four".