27248000 has 128 divisors (see below), whose sum is σ = 73513440. Its totient is φ = 9984000.

The previous prime is 27247981. The next prime is 27248003. The reversal of 27248000 is 84272.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27248003) 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, 207935 + ... + 208065.

Almost surely, 2^27248000 is an apocalyptic number.

27248000 is a gapful number since it is divisible by the number (20) 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 27248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36756720).

27248000 is an abundant number, since it is smaller than the sum of its proper divisors (46265440).

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

27248000 is a wasteful number, since it uses less digits than its factorization.

27248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 27248000 is about 5219.9616856831. The cubic root of 27248000 is about 300.9157205276.

The spelling of 27248000 in words is "twenty-seven million, two hundred forty-eight thousand".