28289199600 has 360 divisors, whose sum is σ = 103172191200. Its totient is φ = 7164241920.

The previous prime is 28289199593. The next prime is 28289199619. The reversal of 28289199600 is 699198282.

28289199600 is a `hidden beast` number, since 2 + 8 + 28 + 9 + 1 + 9 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12336054 + ... + 12338346.

It is an arithmetic number, because the mean of its divisors is an integer number (286589420).

Almost surely, 2^28289199600 is an apocalyptic number.

28289199600 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 28289199600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51586095600).

28289199600 is an abundant number, since it is smaller than the sum of its proper divisors (74882991600).

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

28289199600 is a wasteful number, since it uses less digits than its factorization.

28289199600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 28289199600 in words is "twenty-eight billion, two hundred eighty-nine million, one hundred ninety-nine thousand, six hundred".