27643968 has 84 divisors (see below), whose sum is σ = 86459568. Its totient is φ = 8375040.

The previous prime is 27643961. The next prime is 27644009. The reversal of 27643968 is 86934672.

It is not an unprimeable number, because it can be changed into a prime (27643961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4155 + ... + 8517.

Almost surely, 2^27643968 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 27643968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43229784).

27643968 is an abundant number, since it is smaller than the sum of its proper divisors (58815600).

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

27643968 is a wasteful number, since it uses less digits than its factorization.

27643968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 4379 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 27643968 is about 5257.7531322800. The cubic root of 27643968 is about 302.3663521813.

It can be divided in two parts, 276 and 43968, that added together give a palindrome (44244).

The spelling of 27643968 in words is "twenty-seven million, six hundred forty-three thousand, nine hundred sixty-eight".