14387328 has 128 divisors (see below), whose sum is σ = 44553600. Its totient is φ = 4561920.

The previous prime is 14387293. The next prime is 14387333. The reversal of 14387328 is 82378341.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 14387292 and 14387301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79398 + ... + 79578.

It is an arithmetic number, because the mean of its divisors is an integer number (348075).

Almost surely, 2^14387328 is an apocalyptic number.

14387328 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 14387328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22276800).

14387328 is an abundant number, since it is smaller than the sum of its proper divisors (30166272).

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

14387328 is a wasteful number, since it uses less digits than its factorization.

14387328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 209 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 14387328 is about 3793.0631421056. The cubic root of 14387328 is about 243.2166943757.

The spelling of 14387328 in words is "fourteen million, three hundred eighty-seven thousand, three hundred twenty-eight".