28166344800 has 576 divisors, whose sum is σ = 106170704640. Its totient is φ = 6414336000.

The previous prime is 28166344793. The next prime is 28166344807. The reversal of 28166344800 is 844366182.

It is an interprime number because it is at equal distance from previous prime (28166344793) and next prime (28166344807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28166344807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116872680 + ... + 116872920.

It is an arithmetic number, because the mean of its divisors is an integer number (184324140).

Almost surely, 2^28166344800 is an apocalyptic number.

28166344800 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 28166344800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53085352320).

28166344800 is an abundant number, since it is smaller than the sum of its proper divisors (78004359840).

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

28166344800 is a wasteful number, since it uses less digits than its factorization.

28166344800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 28166344800 in words is "twenty-eight billion, one hundred sixty-six million, three hundred forty-four thousand, eight hundred".