27868032 has 96 divisors (see below), whose sum is σ = 84970080. Its totient is φ = 8736768.

The previous prime is 27868031. The next prime is 27868037. The reversal of 27868032 is 23086872.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27868031) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18873 + ... + 20295.

It is an arithmetic number, because the mean of its divisors is an integer number (885105).

Almost surely, 2^27868032 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 27868032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42485040).

27868032 is an abundant number, since it is smaller than the sum of its proper divisors (57102048).

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

27868032 is a wasteful number, since it uses less digits than its factorization.

27868032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 27868032 is about 5279.0180905165. The cubic root of 27868032 is about 303.1810831434.

The spelling of 27868032 in words is "twenty-seven million, eight hundred sixty-eight thousand, thirty-two".