27851648 has 64 divisors (see below), whose sum is σ = 61395840. Its totient is φ = 12480000.

The previous prime is 27851641. The next prime is 27851711. The reversal of 27851648 is 84615872.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27851641) 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, 184373 + ... + 184523.

It is an arithmetic number, because the mean of its divisors is an integer number (959310).

Almost surely, 2^27851648 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 27851648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30697920).

27851648 is an abundant number, since it is smaller than the sum of its proper divisors (33544192).

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

27851648 is a wasteful number, since it uses less digits than its factorization.

27851648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its digits is 107520, while the sum is 41.

The square root of 27851648 is about 5277.4660586308. The cubic root of 27851648 is about 303.1216567173.

The spelling of 27851648 in words is "twenty-seven million, eight hundred fifty-one thousand, six hundred forty-eight".