27839328 has 96 divisors (see below), whose sum is σ = 81793152. Its totient is φ = 8217600.

The previous prime is 27839323. The next prime is 27839377. The reversal of 27839328 is 82393872.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27839328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27839321) 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 15 ways as a sum of consecutive naturals, for example, 42975 + ... + 43617.

It is an arithmetic number, because the mean of its divisors is an integer number (852012).

Almost surely, 2^27839328 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 27839328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40896576).

27839328 is an abundant number, since it is smaller than the sum of its proper divisors (53953824).

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

27839328 is a wasteful number, since it uses less digits than its factorization.

27839328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 700 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 27839328 is about 5276.2987026892. The cubic root of 27839328 is about 303.0769554775.

The spelling of 27839328 in words is "twenty-seven million, eight hundred thirty-nine thousand, three hundred twenty-eight".