27893928 has 64 divisors (see below), whose sum is σ = 72230400. Its totient is φ = 8971200.

The previous prime is 27893927. The next prime is 27893933. The reversal of 27893928 is 82939872.

It is a happy number.

Its product of digits (435456) is a multiple of the sum of its prime divisors (378).

It is not an unprimeable number, because it can be changed into a prime (27893927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155743 + ... + 155921.

It is an arithmetic number, because the mean of its divisors is an integer number (1128600).

Almost surely, 2^27893928 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 27893928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36115200).

27893928 is an abundant number, since it is smaller than the sum of its proper divisors (44336472).

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

27893928 is a wasteful number, since it uses less digits than its factorization.

27893928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 378 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 27893928 is about 5281.4702498452. The cubic root of 27893928 is about 303.2749630739.

The spelling of 27893928 in words is "twenty-seven million, eight hundred ninety-three thousand, nine hundred twenty-eight".