28311116659200 has 720 divisors, whose sum is σ = 101813210155800. Its totient is φ = 7512824217600.

The previous prime is 28311116659151. The next prime is 28311116659223. The reversal of 28311116659200 is 295661111382.

It is a happy number.

28311116659200 is a `hidden beast` number, since 2 + 8 + 31 + 11 + 16 + 6 + 592 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 714813696 + 28310401845504 = 26736^2 + 5320752^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34150924386 + ... + 34150925214.

Almost surely, 2^{28311116659200} is an apocalyptic number.

28311116659200 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 28311116659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50906605077900).

28311116659200 is an abundant number, since it is smaller than the sum of its proper divisors (73502093496600).

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

28311116659200 is a wasteful number, since it uses less digits than its factorization.

28311116659200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 28311116659200 in words is "twenty-eight trillion, three hundred eleven billion, one hundred sixteen million, six hundred fifty-nine thousand, two hundred".