27987200 has 54 divisors (see below), whose sum is σ = 69288534. Its totient is φ = 11192320.

The previous prime is 27987191. The next prime is 27987217. The reversal of 27987200 is 278972.

It can be written as a sum of positive squares in 3 ways, for example, as 2262016 + 25725184 = 1504^2 + 5072^2 .

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, 4214 + ... + 8586.

It is an arithmetic number, because the mean of its divisors is an integer number (1283121).

Almost surely, 2^27987200 is an apocalyptic number.

27987200 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 27987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34644267).

27987200 is an abundant number, since it is smaller than the sum of its proper divisors (41301334).

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

27987200 is an equidigital number, since it uses as much as digits as its factorization.

27987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4399 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 27987200 is about 5290.2929975569. The cubic root of 27987200 is about 303.6126183029.

It can be divided in two parts, 279 and 87200, that multiplied together give a triangular number (24328800 = T₆₉₇₅).

The spelling of 27987200 in words is "twenty-seven million, nine hundred eighty-seven thousand, two hundred".