27765248 has 80 divisors (see below), whose sum is σ = 64948224. Its totient is φ = 11612160.

The previous prime is 27765247. The next prime is 27765263. The reversal of 27765248 is 84256772.

It is not an unprimeable number, because it can be changed into a prime (27765247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218561 + ... + 218687.

Almost surely, 2^27765248 is an apocalyptic number.

27765248 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 27765248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32474112).

27765248 is an abundant number, since it is smaller than the sum of its proper divisors (37182976).

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

27765248 is an equidigital number, since it uses as much as digits as its factorization.

27765248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its digits is 188160, while the sum is 41.

The square root of 27765248 is about 5269.2739537815. The cubic root of 27765248 is about 302.8078890558.

The spelling of 27765248 in words is "twenty-seven million, seven hundred sixty-five thousand, two hundred forty-eight".