27991130832 has 540 divisors, whose sum is σ = 97237621260. Its totient is φ = 7490875392.

The previous prime is 27991130773. The next prime is 27991130837. The reversal of 27991130832 is 23803119972.

It can be written as a sum of positive squares in 6 ways, for example, as 20575296 + 27970555536 = 4536^2 + 167244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27991130837) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 314507044 + ... + 314507132.

It is an arithmetic number, because the mean of its divisors is an integer number (180069669).

Almost surely, 2^27991130832 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 27991130832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48618810630).

27991130832 is an abundant number, since it is smaller than the sum of its proper divisors (69246490428).

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

27991130832 is a wasteful number, since it uses less digits than its factorization.

27991130832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 27991130832 in words is "twenty-seven billion, nine hundred ninety-one million, one hundred thirty thousand, eight hundred thirty-two".