28850809663200 has 288 divisors, whose sum is σ = 107332695267840. Its totient is φ = 6593998694400.

The previous prime is 28850809663121. The next prime is 28850809663219. The reversal of 28850809663200 is 236690805882.

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 47 ways as a sum of consecutive naturals, for example, 269905765 + ... + 270012635.

It is an arithmetic number, because the mean of its divisors is an integer number (372682969680).

Almost surely, 2^{28850809663200} is an apocalyptic number.

28850809663200 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 28850809663200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53666347633920).

28850809663200 is an abundant number, since it is smaller than the sum of its proper divisors (78481885604640).

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

28850809663200 is a wasteful number, since it uses less digits than its factorization.

28850809663200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122970 (or 122957 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 28850809663200 in words is "twenty-eight trillion, eight hundred fifty billion, eight hundred nine million, six hundred sixty-three thousand, two hundred".