14682288 has 80 divisors (see below), whose sum is σ = 42318720. Its totient is φ = 4359168.

The previous prime is 14682287. The next prime is 14682293. The reversal of 14682288 is 88228641.

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 (14682281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15031 + ... + 15977.

It is an arithmetic number, because the mean of its divisors is an integer number (528984).

Almost surely, 2^14682288 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 14682288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21159360).

14682288 is an abundant number, since it is smaller than the sum of its proper divisors (27636432).

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

14682288 is a wasteful number, since it uses less digits than its factorization.

14682288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 988 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 14682288 is about 3831.7473820700. The cubic root of 14682288 is about 244.8675557926.

The spelling of 14682288 in words is "fourteen million, six hundred eighty-two thousand, two hundred eighty-eight".