27732232000 has 168 divisors, whose sum is σ = 75492635400. Its totient is φ = 10084096000.

The previous prime is 27732231979. The next prime is 27732232009. The reversal of 27732232000 is 23223772.

It can be written as a sum of positive squares in 4 ways, for example, as 1485639936 + 26246592064 = 38544^2 + 162008^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27732232000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27732232009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 953676 + ... + 982324.

It is an arithmetic number, because the mean of its divisors is an integer number (449360925).

Almost surely, 2^27732232000 is an apocalyptic number.

27732232000 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 27732232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37746317700).

27732232000 is an abundant number, since it is smaller than the sum of its proper divisors (47760403400).

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

27732232000 is a wasteful number, since it uses less digits than its factorization.

27732232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28698 (or 28667 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 28.

Adding to 27732232000 its reverse (23223772), we get a palindrome (27755455772).

The spelling of 27732232000 in words is "twenty-seven billion, seven hundred thirty-two million, two hundred thirty-two thousand".