28166621184 has 480 divisors, whose sum is σ = 93315582360. Its totient is φ = 8408530944.

The previous prime is 28166621179. The next prime is 28166621243. The reversal of 28166621184 is 48112666182.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23740646400 + 4425974784 = 154080^2 + 66528^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79791952 + ... + 79792304.

Almost surely, 2^28166621184 is an apocalyptic number.

28166621184 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 28166621184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46657791180).

28166621184 is an abundant number, since it is smaller than the sum of its proper divisors (65148961176).

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

28166621184 is a wasteful number, since it uses less digits than its factorization.

28166621184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 408 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 28166621184 in words is "twenty-eight billion, one hundred sixty-six million, six hundred twenty-one thousand, one hundred eighty-four".