27828360 has 192 divisors, whose sum is σ = 107452800. Its totient is φ = 6345216.

The previous prime is 27828349. The next prime is 27828373. The reversal of 27828360 is 6382872.

It is a happy number.

27828360 is a `hidden beast` number, since 278 + 28 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67836 + ... + 68244.

It is an arithmetic number, because the mean of its divisors is an integer number (559650).

Almost surely, 2^27828360 is an apocalyptic number.

27828360 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 27828360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53726400).

27828360 is an abundant number, since it is smaller than the sum of its proper divisors (79624440).

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

27828360 is a wasteful number, since it uses less digits than its factorization.

27828360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 27828360 is about 5275.2592353362. The cubic root of 27828360 is about 303.0371486656.

The spelling of 27828360 in words is "twenty-seven million, eight hundred twenty-eight thousand, three hundred sixty".