28304836560 has 1920 divisors, whose sum is σ = 141162393600. Its totient is φ = 5046312960.

The previous prime is 28304836537. The next prime is 28304836577. The reversal of 28304836560 is 6563840382.

It is a happy number.

28304836560 is a `hidden beast` number, since 2 + 8 + 3 + 0 + 4 + 83 + 6 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 534053494 + ... + 534053546.

It is an arithmetic number, because the mean of its divisors is an integer number (73522080).

Almost surely, 2^28304836560 is an apocalyptic number.

28304836560 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 28304836560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70581196800).

28304836560 is an abundant number, since it is smaller than the sum of its proper divisors (112857557040).

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

28304836560 is a wasteful number, since it uses less digits than its factorization.

28304836560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 28304836560 in words is "twenty-eight billion, three hundred four million, eight hundred thirty-six thousand, five hundred sixty".