27887328 has 240 divisors, whose sum is σ = 98794080. Its totient is φ = 7547904.

The previous prime is 27887317. The next prime is 27887329. The reversal of 27887328 is 82378872.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27887329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 526150 + ... + 526202.

It is an arithmetic number, because the mean of its divisors is an integer number (411642).

Almost surely, 2^27887328 is an apocalyptic number.

27887328 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 27887328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49397040).

27887328 is an abundant number, since it is smaller than the sum of its proper divisors (70906752).

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

27887328 is a wasteful number, since it uses less digits than its factorization.

27887328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 94 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 27887328 is about 5280.8453868675. The cubic root of 27887328 is about 303.2510418266.

The spelling of 27887328 in words is "twenty-seven million, eight hundred eighty-seven thousand, three hundred twenty-eight".