28327941760000 has 165 divisors, whose sum is σ = 70773260901541. Its totient is φ = 11329473536000.

The previous prime is 28327941759977. The next prime is 28327941760007. The reversal of 28327941760000 is 6714972382.

It is a happy number.

The square root of 28327941760000 is 5322400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 27869276906496 + 458664853504 = 5279136^2 + 677248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28327941760007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4257916674 + ... + 4257923326.

Almost surely, 2^{28327941760000} is an apocalyptic number.

28327941760000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28327941760000 is the 5322400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28327941760000

28327941760000 is an abundant number, since it is smaller than the sum of its proper divisors (42445319141541).

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

28327941760000 is an frugal number, since it uses more digits than its factorization.

28327941760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13346 (or 6660 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

The spelling of 28327941760000 in words is "twenty-eight trillion, three hundred twenty-seven billion, nine hundred forty-one million, seven hundred sixty thousand".