14484288 has 112 divisors (see below), whose sum is σ = 47223680. Its totient is φ = 3815424.

The previous prime is 14484287. The next prime is 14484293. The reversal of 14484288 is 88248441.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14484287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17058 + ... + 17886.

It is an arithmetic number, because the mean of its divisors is an integer number (421640).

Almost surely, 2^14484288 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 14484288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23611840).

14484288 is an abundant number, since it is smaller than the sum of its proper divisors (32739392).

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

14484288 is a wasteful number, since it uses less digits than its factorization.

14484288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 854 counting only the distinct ones).

The product of its digits is 65536, while the sum is 39.

The square root of 14484288 is about 3805.8229070728. The cubic root of 14484288 is about 243.7618387412.

The spelling of 14484288 in words is "fourteen million, four hundred eighty-four thousand, two hundred eighty-eight".