27668448 has 72 divisors (see below), whose sum is σ = 82122768. Its totient is φ = 8819712.

The previous prime is 27668447. The next prime is 27668507. The reversal of 27668448 is 84486672.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27668447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4536 + ... + 8712.

It is an arithmetic number, because the mean of its divisors is an integer number (1140594).

Almost surely, 2^27668448 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 27668448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41061384).

27668448 is an abundant number, since it is smaller than the sum of its proper divisors (54454320).

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

27668448 is a wasteful number, since it uses less digits than its factorization.

27668448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4216 (or 4205 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 27668448 is about 5260.0806077474. The cubic root of 27668448 is about 302.4555789336.

The spelling of 27668448 in words is "twenty-seven million, six hundred sixty-eight thousand, four hundred forty-eight".