27832972286028 has 384 divisors, whose sum is σ = 90904875264000. Its totient is φ = 6545142890496.

The previous prime is 27832972286003. The next prime is 27832972286081. The reversal of 27832972286028 is 82068227923872.

It is a self number, because there is not a number n which added to its sum of digits gives 27832972286028.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16477876 + ... + 18088292.

It is an arithmetic number, because the mean of its divisors is an integer number (236731446000).

Almost surely, 2^{27832972286028} is an apocalyptic number.

27832972286028 is a gapful number since it is divisible by the number (28) 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 27832972286028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45452437632000).

27832972286028 is an abundant number, since it is smaller than the sum of its proper divisors (63071902977972).

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

27832972286028 is a wasteful number, since it uses less digits than its factorization.

27832972286028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610494 (or 1610478 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 66.

The spelling of 27832972286028 in words is "twenty-seven trillion, eight hundred thirty-two billion, nine hundred seventy-two million, two hundred eighty-six thousand, twenty-eight".