27865856 has 72 divisors (see below), whose sum is σ = 62178480. Its totient is φ = 12386304.

The previous prime is 27865829. The next prime is 27865861. The reversal of 27865856 is 65856872.

It is a super-2 number, since 2×27865856² = 1553011861225472, which contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 27865856.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82520 + ... + 82856.

It is an arithmetic number, because the mean of its divisors is an integer number (863590).

Almost surely, 2^27865856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27865856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31089240).

27865856 is an abundant number, since it is smaller than the sum of its proper divisors (34312624).

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

27865856 is a wasteful number, since it uses less digits than its factorization.

27865856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 375 counting only the distinct ones).

The product of its digits is 806400, while the sum is 47.

The square root of 27865856 is about 5278.8119875593. The cubic root of 27865856 is about 303.1731919127.

The spelling of 27865856 in words is "twenty-seven million, eight hundred sixty-five thousand, eight hundred fifty-six".