27828800 has 42 divisors (see below), whose sum is σ = 68480178. Its totient is φ = 11130880.

The previous prime is 27828799. The next prime is 27828809. The reversal of 27828800 is 882872.

It can be written as a sum of positive squares in 3 ways, for example, as 287296 + 27541504 = 536^2 + 5248^2 .

It is not an unprimeable number, because it can be changed into a prime (27828809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7097 + ... + 10296.

Almost surely, 2^27828800 is an apocalyptic number.

27828800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27828800 is an abundant number, since it is smaller than the sum of its proper divisors (40651378).

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

27828800 is a wasteful number, since it uses less digits than its factorization.

27828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17415 (or 17400 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 27828800 is about 5275.3009392830. The cubic root of 27828800 is about 303.0387457850.

The spelling of 27828800 in words is "twenty-seven million, eight hundred twenty-eight thousand, eight hundred".