27953856 has 112 divisors (see below), whose sum is σ = 93959680. Its totient is φ = 7983360.

The previous prime is 27953851. The next prime is 27953879. The reversal of 27953856 is 65835972.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (27953851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10941 + ... + 13251.

Almost surely, 2^27953856 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 27953856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46979840).

27953856 is an abundant number, since it is smaller than the sum of its proper divisors (66005824).

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

27953856 is a wasteful number, since it uses less digits than its factorization.

27953856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2323 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 27953856 is about 5287.1406260851. The cubic root of 27953856 is about 303.4919955151.

The spelling of 27953856 in words is "twenty-seven million, nine hundred fifty-three thousand, eight hundred fifty-six".