27967248 has 80 divisors (see below), whose sum is σ = 82286400. Its totient is φ = 9089280.

The previous prime is 27967237. The next prime is 27967253. The reversal of 27967248 is 84276972.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16923 + ... + 18501.

It is an arithmetic number, because the mean of its divisors is an integer number (1028580).

Almost surely, 2^27967248 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 27967248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41143200).

27967248 is an abundant number, since it is smaller than the sum of its proper divisors (54319152).

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

27967248 is a wasteful number, since it uses less digits than its factorization.

27967248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1625 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 27967248 is about 5288.4069434944. The cubic root of 27967248 is about 303.5404529436.

The spelling of 27967248 in words is "twenty-seven million, nine hundred sixty-seven thousand, two hundred forty-eight".