27987800 has 24 divisors (see below), whose sum is σ = 65072100. Its totient is φ = 11195040.

The previous prime is 27987793. The next prime is 27987809. The reversal of 27987800 is 878972.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27987809) 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, 69770 + ... + 70169.

Almost surely, 2^27987800 is an apocalyptic number.

27987800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27987800 is an abundant number, since it is smaller than the sum of its proper divisors (37084300).

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

27987800 is a wasteful number, since it uses less digits than its factorization.

27987800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139955 (or 139946 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The square root of 27987800 is about 5290.3497048872. The cubic root of 27987800 is about 303.6147879408.

The spelling of 27987800 in words is "twenty-seven million, nine hundred eighty-seven thousand, eight hundred".