27983382336 has 560 divisors, whose sum is σ = 103110263680. Its totient is φ = 7380232704.

The previous prime is 27983382307. The next prime is 27983382337. The reversal of 27983382336 is 63328338972.

It is a happy number.

27983382336 is a `hidden beast` number, since 2 + 79 + 8 + 338 + 233 + 6 = 666.

It is a super-3 number, since 3×27983382336³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27983382337) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2152567866 + ... + 2152567878.

Almost surely, 2^27983382336 is an apocalyptic number.

27983382336 is a gapful number since it is divisible by the number (26) 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 27983382336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51555131840).

27983382336 is an abundant number, since it is smaller than the sum of its proper divisors (75126881344).

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

27983382336 is an frugal number, since it uses more digits than its factorization.

27983382336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 25 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 27983382336 in words is "twenty-seven billion, nine hundred eighty-three million, three hundred eighty-two thousand, three hundred thirty-six".