28368509299200 has 3840 divisors, whose sum is σ = 132598294118400. Its totient is φ = 5794003353600.

The previous prime is 28368509299199. The next prime is 28368509299211. The reversal of 28368509299200 is 299290586382.

28368509299200 is a `hidden beast` number, since 2 + 8 + 36 + 8 + 509 + 2 + 9 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 61271078169 + ... + 61271078631.

It is an arithmetic number, because the mean of its divisors is an integer number (34530805760).

Almost surely, 2^{28368509299200} is an apocalyptic number.

28368509299200 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 28368509299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66299147059200).

28368509299200 is an abundant number, since it is smaller than the sum of its proper divisors (104229784819200).

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

28368509299200 is a wasteful number, since it uses less digits than its factorization.

28368509299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 28368509299200 in words is "twenty-eight trillion, three hundred sixty-eight billion, five hundred nine million, two hundred ninety-nine thousand, two hundred".