27868416 has 72 divisors (see below), whose sum is σ = 75006624. Its totient is φ = 9185280.

The previous prime is 27868369. The next prime is 27868427. The reversal of 27868416 is 61486872.

It is a super-2 number, since 2×27868416² = 1553297220698112, which contains 22 as substring.

It is a congruent number.

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, 100470 + ... + 100746.

Almost surely, 2^27868416 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 27868416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37503312).

27868416 is an abundant number, since it is smaller than the sum of its proper divisors (47138208).

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

27868416 is a wasteful number, since it uses less digits than its factorization.

27868416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 413 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 27868416 is about 5279.0544607913. The cubic root of 27868416 is about 303.1824756709.

The spelling of 27868416 in words is "twenty-seven million, eight hundred sixty-eight thousand, four hundred sixteen".