27563328 has 140 divisors (see below), whose sum is σ = 88206580. Its totient is φ = 8460288.

The previous prime is 27563303. The next prime is 27563329. The reversal of 27563328 is 82336572.

27563328 is a `hidden beast` number, since 275 + 63 + 328 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15116544 + 12446784 = 3888^2 + 3528^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27563292 and 27563301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27563329) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67188 + ... + 67596.

It is an arithmetic number, because the mean of its divisors is an integer number (630047).

Almost surely, 2^27563328 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 27563328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44103290).

27563328 is an abundant number, since it is smaller than the sum of its proper divisors (60643252).

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

27563328 is a wasteful number, since it uses less digits than its factorization.

27563328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 427 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 27563328 is about 5250.0788565506. The cubic root of 27563328 is about 302.0720556688.

It can be divided in two parts, 2756 and 3328, that added together give a square (6084 = 78²).

The spelling of 27563328 in words is "twenty-seven million, five hundred sixty-three thousand, three hundred twenty-eight".