14285200 has 60 divisors (see below), whose sum is σ = 34872768. Its totient is φ = 5622400.

The previous prime is 14285177. The next prime is 14285221. The reversal of 14285200 is 258241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28149 + ... + 28651.

Almost surely, 2^14285200 is an apocalyptic number.

14285200 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 14285200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17436384).

14285200 is an abundant number, since it is smaller than the sum of its proper divisors (20587568).

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

14285200 is a wasteful number, since it uses less digits than its factorization.

14285200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 14285200 is about 3779.5766958748. The cubic root of 14285200 is about 242.6398385723.

The spelling of 14285200 in words is "fourteen million, two hundred eighty-five thousand, two hundred".