28313628288 has 256 divisors, whose sum is σ = 85439508480. Its totient is φ = 8298470400.

The previous prime is 28313628251. The next prime is 28313628313. The reversal of 28313628288 is 88282631382.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28313628288.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15843331 + ... + 15845117.

It is an arithmetic number, because the mean of its divisors is an integer number (333748080).

Almost surely, 2^28313628288 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 28313628288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42719754240).

28313628288 is an abundant number, since it is smaller than the sum of its proper divisors (57125880192).

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

28313628288 is a wasteful number, since it uses less digits than its factorization.

28313628288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1834 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The spelling of 28313628288 in words is "twenty-eight billion, three hundred thirteen million, six hundred twenty-eight thousand, two hundred eighty-eight".