28171569312 has 264 divisors, whose sum is σ = 88187884596. Its totient is φ = 8828061696.

The previous prime is 28171569311. The next prime is 28171569317. The reversal of 28171569312 is 21396517182.

28171569312 is a `hidden beast` number, since 2 + 8 + 1 + 71 + 569 + 3 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25101966096 + 3069603216 = 158436^2 + 55404^2 .

It is not an unprimeable number, because it can be changed into a prime (28171569311) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 32122218 + ... + 32123094.

Almost surely, 2^28171569312 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 28171569312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44093942298).

28171569312 is an abundant number, since it is smaller than the sum of its proper divisors (60016315284).

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

28171569312 is an frugal number, since it uses more digits than its factorization.

28171569312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 899 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 28171569312 in words is "twenty-eight billion, one hundred seventy-one million, five hundred sixty-nine thousand, three hundred twelve".