28286444160 has 768 divisors, whose sum is σ = 115643324160. Its totient is φ = 6545276928.

The previous prime is 28286444149. The next prime is 28286444257. The reversal of 28286444160 is 6144468282.

28286444160 is a `hidden beast` number, since 28 + 28 + 6 + 444 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34369509 + ... + 34370331.

It is an arithmetic number, because the mean of its divisors is an integer number (150577245).

Almost surely, 2^28286444160 is an apocalyptic number.

28286444160 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 28286444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57821662080).

28286444160 is an abundant number, since it is smaller than the sum of its proper divisors (87356880000).

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

28286444160 is a wasteful number, since it uses less digits than its factorization.

28286444160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 28286444160 in words is "twenty-eight billion, two hundred eighty-six million, four hundred forty-four thousand, one hundred sixty".