28706709331200 has 432 divisors, whose sum is σ = 96789432579840. Its totient is φ = 7489490780160.

The previous prime is 28706709331159. The next prime is 28706709331213. The reversal of 28706709331200 is 213390760782.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28706709331200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3870389892 + ... + 3870397308.

Almost surely, 2^{28706709331200} is an apocalyptic number.

28706709331200 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 28706709331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48394716289920).

28706709331200 is an abundant number, since it is smaller than the sum of its proper divisors (68082723248640).

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

28706709331200 is a wasteful number, since it uses less digits than its factorization.

28706709331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11782 (or 11763 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 28706709331200 in words is "twenty-eight trillion, seven hundred six billion, seven hundred nine million, three hundred thirty-one thousand, two hundred".