27795456 has 168 divisors, whose sum is σ = 89451180. Its totient is φ = 8257536.

The previous prime is 27795451. The next prime is 27795457. The reversal of 27795456 is 65459772.

It can be written as a sum of positive squares in 2 ways, for example, as 26873856 + 921600 = 5184^2 + 960^2 .

It is not an unprimeable number, because it can be changed into a prime (27795451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 958450 + ... + 958478.

Almost surely, 2^27795456 is an apocalyptic number.

27795456 is a gapful number since it is divisible by the number (26) 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 27795456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44725590).

27795456 is an abundant number, since it is smaller than the sum of its proper divisors (61655724).

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

27795456 is a wasteful number, since it uses less digits than its factorization.

27795456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 47 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 27795456 is about 5272.1396036145. The cubic root of 27795456 is about 302.9176654375.

The spelling of 27795456 in words is "twenty-seven million, seven hundred ninety-five thousand, four hundred fifty-six".