28576800000 has 1134 divisors, whose sum is σ = 124350677766. Its totient is φ = 6531840000.

The previous prime is 28576799983. The next prime is 28576800017. The reversal of 28576800000 is 867582.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

28576800000 is a `hidden beast` number, since 2 + 8 + 576 + 80 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28576799983) and next prime (28576800017).

It can be written as a sum of positive squares in 3 ways, for example, as 13204767744 + 15372032256 = 114912^2 + 123984^2 .

It is a tau number, because it is divible by the number of its divisors (1134).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 4082399997 + ... + 4082400003.

Almost surely, 2^28576800000 is an apocalyptic number.

28576800000 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 28576800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62175338883).

28576800000 is an abundant number, since it is smaller than the sum of its proper divisors (95773877766).

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

28576800000 is an frugal number, since it uses more digits than its factorization.

28576800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 28576800000 in words is "twenty-eight billion, five hundred seventy-six million, eight hundred thousand".