27856800 has 216 divisors, whose sum is σ = 101454444. Its totient is φ = 7188480.

The previous prime is 27856799. The next prime is 27856811. The reversal of 27856800 is 865872.

It can be written as a sum of positive squares in 6 ways, for example, as 14107536 + 13749264 = 3756^2 + 3708^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 381564 + ... + 381636.

Almost surely, 2^27856800 is an apocalyptic number.

27856800 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 27856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50727222).

27856800 is an abundant number, since it is smaller than the sum of its proper divisors (73597644).

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

27856800 is a wasteful number, since it uses less digits than its factorization.

27856800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 27856800 is about 5277.9541490998. The cubic root of 27856800 is about 303.1403460541.

The spelling of 27856800 in words is "twenty-seven million, eight hundred fifty-six thousand, eight hundred".