28288505920 has 224 divisors, whose sum is σ = 75156657408. Its totient is φ = 10086776832.

The previous prime is 28288505911. The next prime is 28288505941. The reversal of 28288505920 is 2950588282.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13386784 + ... + 13388896.

It is an arithmetic number, because the mean of its divisors is an integer number (335520792).

Almost surely, 2^28288505920 is an apocalyptic number.

28288505920 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 28288505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37578328704).

28288505920 is an abundant number, since it is smaller than the sum of its proper divisors (46868151488).

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

28288505920 is a wasteful number, since it uses less digits than its factorization.

28288505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 49.

The spelling of 28288505920 in words is "twenty-eight billion, two hundred eighty-eight million, five hundred five thousand, nine hundred twenty".