27984086982 has 128 divisors (see below), whose sum is σ = 66479616000. Its totient is φ = 8705207808.

The previous prime is 27984086891. The next prime is 27984086983. The reversal of 27984086982 is 28968048972.

27984086982 is a `hidden beast` number, since 2 + 7 + 98 + 408 + 69 + 82 = 666.

It is a super-2 number, since 2×27984086982² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27984086983) 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, 26676394 + ... + 26677442.

It is an arithmetic number, because the mean of its divisors is an integer number (519372000).

Almost surely, 2^27984086982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27984086982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33239808000).

27984086982 is an abundant number, since it is smaller than the sum of its proper divisors (38495529018).

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

27984086982 is a wasteful number, since it uses less digits than its factorization.

27984086982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 27984086982 in words is "twenty-seven billion, nine hundred eighty-four million, eighty-six thousand, nine hundred eighty-two".