27896800 has 36 divisors (see below), whose sum is σ = 68105016. Its totient is φ = 11158400.

The previous prime is 27896777. The next prime is 27896801. The reversal of 27896800 is 869872.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27896801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16636 + ... + 18235.

It is an arithmetic number, because the mean of its divisors is an integer number (1891806).

Almost surely, 2^27896800 is an apocalyptic number.

27896800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27896800 is an abundant number, since it is smaller than the sum of its proper divisors (40208216).

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

27896800 is a wasteful number, since it uses less digits than its factorization.

27896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34891 (or 34878 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 27896800 is about 5281.7421368333. The cubic root of 27896800 is about 303.2853712626.

The spelling of 27896800 in words is "twenty-seven million, eight hundred ninety-six thousand, eight hundred".