27882140 has 48 divisors (see below), whose sum is σ = 68796000. Its totient is φ = 9358080.

The previous prime is 27882133. The next prime is 27882143. The reversal of 27882140 is 4128872.

It is a junction number, because it is equal to n+sod(n) for n = 27882097 and 27882106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27882143) 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 15 ways as a sum of consecutive naturals, for example, 2015 + ... + 7734.

It is an arithmetic number, because the mean of its divisors is an integer number (1433250).

Almost surely, 2^27882140 is an apocalyptic number.

27882140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27882140 is an abundant number, since it is smaller than the sum of its proper divisors (40913860).

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

27882140 is a wasteful number, since it uses less digits than its factorization.

27882140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9782 (or 9780 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 27882140 is about 5280.3541547892. The cubic root of 27882140 is about 303.2322356270.

The spelling of 27882140 in words is "twenty-seven million, eight hundred eighty-two thousand, one hundred forty".