14004288 has 84 divisors (see below), whose sum is σ = 41189148. Its totient is φ = 4546560.

The previous prime is 14004271. The next prime is 14004313. The reversal of 14004288 is 88240041.

It can be written as a sum of positive squares in 2 ways, for example, as 3968064 + 10036224 = 1992^2 + 3168^2 .

It is a super-2 number, since 2×14004288² = 392240164773888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23320 + ... + 23912.

It is an arithmetic number, because the mean of its divisors is an integer number (490347).

Almost surely, 2^14004288 is an apocalyptic number.

14004288 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 14004288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20594574).

14004288 is an abundant number, since it is smaller than the sum of its proper divisors (27184860).

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

14004288 is a wasteful number, since it uses less digits than its factorization.

14004288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 14004288 is about 3742.2303510073. The cubic root of 14004288 is about 241.0388303106.

The spelling of 14004288 in words is "fourteen million, four thousand, two hundred eighty-eight".