27957248 has 96 divisors (see below), whose sum is σ = 65454480. Its totient is φ = 11796480.

The previous prime is 27957233. The next prime is 27957263. The reversal of 27957248 is 84275972.

It is an interprime number because it is at equal distance from previous prime (27957233) and next prime (27957263).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 27957199 and 27957208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382940 + ... + 383012.

Almost surely, 2^27957248 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 27957248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32727240).

27957248 is an abundant number, since it is smaller than the sum of its proper divisors (37497232).

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

27957248 is a wasteful number, since it uses less digits than its factorization.

27957248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 103 counting only the distinct ones).

The product of its digits is 282240, while the sum is 44.

The square root of 27957248 is about 5287.4613946581. The cubic root of 27957248 is about 303.5042705445.

The spelling of 27957248 in words is "twenty-seven million, nine hundred fifty-seven thousand, two hundred forty-eight".