27928416 has 96 divisors (see below), whose sum is σ = 78835680. Its totient is φ = 8626176.

The previous prime is 27928393. The next prime is 27928429. The reversal of 27928416 is 61482972.

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

Its product of digits (48384) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is an unprimeable number.

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, 177810 + ... + 177966.

It is an arithmetic number, because the mean of its divisors is an integer number (821205).

Almost surely, 2^27928416 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 27928416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39417840).

27928416 is an abundant number, since it is smaller than the sum of its proper divisors (50907264).

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

27928416 is a wasteful number, since it uses less digits than its factorization.

27928416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 27928416 is about 5284.7342411894. The cubic root of 27928416 is about 303.3999011278.

The spelling of 27928416 in words is "twenty-seven million, nine hundred twenty-eight thousand, four hundred sixteen".