14888328 has 128 divisors (see below), whose sum is σ = 48625920. Its totient is φ = 3686400.

The previous prime is 14888317. The next prime is 14888329. The reversal of 14888328 is 82388841.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 14888328.

It is not an unprimeable number, because it can be changed into a prime (14888329) 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 31 ways as a sum of consecutive naturals, for example, 36928 + ... + 37328.

It is an arithmetic number, because the mean of its divisors is an integer number (379890).

Almost surely, 2^14888328 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 14888328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24312960).

14888328 is an abundant number, since it is smaller than the sum of its proper divisors (33737592).

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

14888328 is a wasteful number, since it uses less digits than its factorization.

14888328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 443 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 14888328 is about 3858.5396201154. The cubic root of 14888328 is about 246.0076671548.

The spelling of 14888328 in words is "fourteen million, eight hundred eighty-eight thousand, three hundred twenty-eight".