28812655872000 has 5184 divisors, whose sum is σ = 144874993011840. Its totient is φ = 5348229120000.

The previous prime is 28812655871929. The next prime is 28812655872029. The reversal of 28812655872000 is 27855621882.

28812655872000 is a `hidden beast` number, since 2 + 8 + 8 + 12 + 6 + 558 + 72 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 929440511985 + ... + 929440512015.

It is an arithmetic number, because the mean of its divisors is an integer number (27946565010).

Almost surely, 2^{28812655872000} is an apocalyptic number.

28812655872000 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 28812655872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72437496505920).

28812655872000 is an abundant number, since it is smaller than the sum of its proper divisors (116062337139840).

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

28812655872000 is a wasteful number, since it uses less digits than its factorization.

28812655872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 28812655872000 in words is "twenty-eight trillion, eight hundred twelve billion, six hundred fifty-five million, eight hundred seventy-two thousand".