28835967967200 has 576 divisors, whose sum is σ = 108707574769920. Its totient is φ = 7370082846720.

The previous prime is 28835967967199. The next prime is 28835967967211. The reversal of 28835967967200 is 276976953882.

28835967967200 is a `hidden beast` number, since 2 + 8 + 8 + 3 + 596 + 7 + 9 + 6 + 7 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 53277139 + ... + 53815661.

It is an arithmetic number, because the mean of its divisors is an integer number (188728428420).

Almost surely, 2^{28835967967200} is an apocalyptic number.

28835967967200 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 28835967967200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54353787384960).

28835967967200 is an abundant number, since it is smaller than the sum of its proper divisors (79871606802720).

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

28835967967200 is a wasteful number, since it uses less digits than its factorization.

28835967967200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538656 (or 538637 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 28835967967200 in words is "twenty-eight trillion, eight hundred thirty-five billion, nine hundred sixty-seven million, nine hundred sixty-seven thousand, two hundred".