14028800 has 78 divisors (see below), whose sum is σ = 35041098. Its totient is φ = 5570560.

The previous prime is 14028761. The next prime is 14028823. The reversal of 14028800 is 882041.

It can be written as a sum of positive squares in 3 ways, for example, as 1183744 + 12845056 = 1088^2 + 3584^2 .

It is a nialpdrome in base 8 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102332 + ... + 102468.

Almost surely, 2^14028800 is an apocalyptic number.

14028800 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 14028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17520549).

14028800 is an abundant number, since it is smaller than the sum of its proper divisors (21012298).

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

14028800 is an equidigital number, since it uses as much as digits as its factorization.

14028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 14028800 is about 3745.5039714303. The cubic root of 14028800 is about 241.1793801191.

The spelling of 14028800 in words is "fourteen million, twenty-eight thousand, eight hundred".