27815648 has 48 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 11400576.

The previous prime is 27815647. The next prime is 27815657. The reversal of 27815648 is 84651872.

It is a super-3 number, since 3×27815648³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27815647) 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, 2453 + ... + 7851.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^27815648 is an apocalyptic number.

27815648 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 27815648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

27815648 is an abundant number, since it is smaller than the sum of its proper divisors (37502752).

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

27815648 is a wasteful number, since it uses less digits than its factorization.

27815648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5439 (or 5431 counting only the distinct ones).

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

The square root of 27815648 is about 5274.0542280109. The cubic root of 27815648 is about 302.9909991626.

The spelling of 27815648 in words is "twenty-seven million, eight hundred fifteen thousand, six hundred forty-eight".