27248928 has 192 divisors, whose sum is σ = 89413632. Its totient is φ = 7096320.

The previous prime is 27248927. The next prime is 27248953. The reversal of 27248928 is 82984272.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 27248928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27248927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 633675 + ... + 633717.

It is an arithmetic number, because the mean of its divisors is an integer number (465696).

Almost surely, 2^27248928 is an apocalyptic number.

27248928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27248928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44706816).

27248928 is an abundant number, since it is smaller than the sum of its proper divisors (62164704).

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

27248928 is a wasteful number, since it uses less digits than its factorization.

27248928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 27248928 is about 5220.0505744676. The cubic root of 27248928 is about 300.9191366391.

The spelling of 27248928 in words is "twenty-seven million, two hundred forty-eight thousand, nine hundred twenty-eight".