28246288896 has 560 divisors, whose sum is σ = 101974276800. Its totient is φ = 7632175104.

The previous prime is 28246288871. The next prime is 28246288907. The reversal of 28246288896 is 69888264282.

28246288896 is a `hidden beast` number, since 2 + 8 + 2 + 462 + 8 + 88 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 49641700 + ... + 49642268.

Almost surely, 2^28246288896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28246288896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50987138400).

28246288896 is an abundant number, since it is smaller than the sum of its proper divisors (73727987904).

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

28246288896 is an frugal number, since it uses more digits than its factorization.

28246288896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 600 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 63.

The spelling of 28246288896 in words is "twenty-eight billion, two hundred forty-six million, two hundred eighty-eight thousand, eight hundred ninety-six".