28166133024 has 96 divisors (see below), whose sum is σ = 82256307840. Its totient is φ = 9376701696.

The previous prime is 28166133011. The next prime is 28166133053. The reversal of 28166133024 is 42033166182.

28166133024 is a `hidden beast` number, since 2 + 8 + 1 + 6 + 613 + 30 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 28166133024.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668157 + ... + 709059.

It is an arithmetic number, because the mean of its divisors is an integer number (856836540).

Almost surely, 2^28166133024 is an apocalyptic number.

28166133024 is a gapful number since it is divisible by the number (24) 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 28166133024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41128153920).

28166133024 is an abundant number, since it is smaller than the sum of its proper divisors (54090174816).

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

28166133024 is a wasteful number, since it uses less digits than its factorization.

28166133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41719 (or 41705 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 28166133024 in words is "twenty-eight billion, one hundred sixty-six million, one hundred thirty-three thousand, twenty-four".