14288800 has 72 divisors (see below), whose sum is σ = 35646156. Its totient is φ = 5591040.

The previous prime is 14288777. The next prime is 14288803. The reversal of 14288800 is 888241.

It can be written as a sum of positive squares in 6 ways, for example, as 5071504 + 9217296 = 2252^2 + 3036^2 .

It is not an unprimeable number, because it can be changed into a prime (14288803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42232 + ... + 42568.

Almost surely, 2^14288800 is an apocalyptic number.

14288800 is a gapful number since it is divisible by the number (10) 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 14288800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17823078).

14288800 is an abundant number, since it is smaller than the sum of its proper divisors (21357356).

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

14288800 is a wasteful number, since it uses less digits than its factorization.

14288800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 14288800 is about 3780.0529096826. The cubic root of 14288800 is about 242.6602193406.

The spelling of 14288800 in words is "fourteen million, two hundred eighty-eight thousand, eight hundred".