27982993752 has 256 divisors, whose sum is σ = 94411008000. Its totient is φ = 7522841088.

The previous prime is 27982993739. The next prime is 27982993777. The reversal of 27982993752 is 25739928972.

27982993752 is a `hidden beast` number, since 279 + 8 + 299 + 3 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 27982993752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7426573 + ... + 7430339.

It is an arithmetic number, because the mean of its divisors is an integer number (368793000).

Almost surely, 2^27982993752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27982993752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47205504000).

27982993752 is an abundant number, since it is smaller than the sum of its proper divisors (66428014248).

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

27982993752 is a wasteful number, since it uses less digits than its factorization.

27982993752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840 (or 3796 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 27982993752 in words is "twenty-seven billion, nine hundred eighty-two million, nine hundred ninety-three thousand, seven hundred fifty-two".