27982689280 has 704 divisors, whose sum is σ = 90788544000. Its totient is φ = 8026324992.

The previous prime is 27982689253. The next prime is 27982689281. The reversal of 27982689280 is 8298628972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27982689281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256721866 + ... + 256721974.

It is an arithmetic number, because the mean of its divisors is an integer number (128961000).

Almost surely, 2^27982689280 is an apocalyptic number.

27982689280 is a gapful number since it is divisible by the number (20) 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 27982689280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45394272000).

27982689280 is an abundant number, since it is smaller than the sum of its proper divisors (62805854720).

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

27982689280 is a wasteful number, since it uses less digits than its factorization.

27982689280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 61.

The spelling of 27982689280 in words is "twenty-seven billion, nine hundred eighty-two million, six hundred eighty-nine thousand, two hundred eighty".