28305784080 has 240 divisors, whose sum is σ = 112387092480. Its totient is φ = 6246761472.

The previous prime is 28305784061. The next prime is 28305784081. The reversal of 28305784080 is 8048750382.

28305784080 is a `hidden beast` number, since 2 + 8 + 30 + 578 + 40 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (28305784081) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 49329 + ... + 242991.

It is an arithmetic number, because the mean of its divisors is an integer number (468279552).

Almost surely, 2^28305784080 is an apocalyptic number.

28305784080 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 28305784080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56193546240).

28305784080 is an abundant number, since it is smaller than the sum of its proper divisors (84081308400).

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

28305784080 is a wasteful number, since it uses less digits than its factorization.

28305784080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193718 (or 193709 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 28305784080 in words is "twenty-eight billion, three hundred five million, seven hundred eighty-four thousand, eighty".