28008946900800 has 504 divisors, whose sum is σ = 103020136479000. Its totient is φ = 7208911503360.

The previous prime is 28008946900789. The next prime is 28008946900859. The reversal of 28008946900800 is 800964980082.

28008946900800 is a `hidden beast` number, since 28 + 0 + 0 + 89 + 469 + 0 + 0 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 34918154496 + 27974028746304 = 186864^2 + 5289048^2 .

It is a super-2 number, since 2×28008946900800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1343408776 + ... + 1343429624.

Almost surely, 2^{28008946900800} is an apocalyptic number.

28008946900800 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 28008946900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51510068239500).

28008946900800 is an abundant number, since it is smaller than the sum of its proper divisors (75011189578200).

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

28008946900800 is a wasteful number, since it uses less digits than its factorization.

28008946900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24123 (or 24105 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 28008946900800 in words is "twenty-eight trillion, eight billion, nine hundred forty-six million, nine hundred thousand, eight hundred".