27830200 has 48 divisors (see below), whose sum is σ = 65096280. Its totient is φ = 11064960.

The previous prime is 27830197. The next prime is 27830221. The reversal of 27830200 is 203872.

It is a happy number.

It is a congruent number.

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, 45094 + ... + 45706.

Almost surely, 2^27830200 is an apocalyptic number.

27830200 is a gapful number since it is divisible by the number (20) 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 27830200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32548140).

27830200 is an abundant number, since it is smaller than the sum of its proper divisors (37266080).

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

27830200 is a wasteful number, since it uses less digits than its factorization.

27830200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 27830200 is about 5275.4336314658. The cubic root of 27830200 is about 303.0438274166.

The spelling of 27830200 in words is "twenty-seven million, eight hundred thirty thousand, two hundred".