28171852011072 has 1260 divisors, whose sum is σ = 110226880253952. Its totient is φ = 7081080652800.

The previous prime is 28171852011049. The next prime is 28171852011073. The reversal of 28171852011072 is 27011025817182.

28171852011072 is a `hidden beast` number, since 2 + 8 + 1 + 7 + 1 + 8 + 520 + 110 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (28171852011073) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 952799233 + ... + 952828799.

Almost surely, 2^{28171852011072} is an apocalyptic number.

28171852011072 is a gapful number since it is divisible by the number (22) 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 28171852011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55113440126976).

28171852011072 is an abundant number, since it is smaller than the sum of its proper divisors (82055028242880).

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

28171852011072 is a wasteful number, since it uses less digits than its factorization.

28171852011072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29658 (or 29621 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 45.

The spelling of 28171852011072 in words is "twenty-eight trillion, one hundred seventy-one billion, eight hundred fifty-two million, eleven thousand, seventy-two".