27982232460 has 864 divisors, whose sum is σ = 113161531392. Its totient is φ = 5677102080.

The previous prime is 27982232419. The next prime is 27982232527. The reversal of 27982232460 is 6423228972.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 178230702 + ... + 178230858.

Almost surely, 2^27982232460 is an apocalyptic number.

27982232460 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 27982232460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56580765696).

27982232460 is an abundant number, since it is smaller than the sum of its proper divisors (85179298932).

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

27982232460 is a wasteful number, since it uses less digits than its factorization.

27982232460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 27982232460 in words is "twenty-seven billion, nine hundred eighty-two million, two hundred thirty-two thousand, four hundred sixty".