27813200 has 60 divisors (see below), whose sum is σ = 69007488. Its totient is φ = 10761600.

The previous prime is 27813197. The next prime is 27813209. The reversal of 27813200 is 231872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27813209) 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, 11279 + ... + 13521.

Almost surely, 2^27813200 is an apocalyptic number.

27813200 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 27813200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34503744).

27813200 is an abundant number, since it is smaller than the sum of its proper divisors (41194288).

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

27813200 is a wasteful number, since it uses less digits than its factorization.

27813200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 27813200 is about 5273.8221433795. The cubic root of 27813200 is about 302.9821103562.

The spelling of 27813200 in words is "twenty-seven million, eight hundred thirteen thousand, two hundred".