28318530240 has 2016 divisors, whose sum is σ = 141657384960. Its totient is φ = 5036359680.

The previous prime is 28318530169. The next prime is 28318530257. The reversal of 28318530240 is 4203581382.

28318530240 is a `hidden beast` number, since 2 + 83 + 1 + 8 + 530 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28318530195 and 28318530204.

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 287 ways as a sum of consecutive naturals, for example, 602521897 + ... + 602521943.

It is an arithmetic number, because the mean of its divisors is an integer number (70266560).

Almost surely, 2^28318530240 is an apocalyptic number.

28318530240 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 28318530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70828692480).

28318530240 is an abundant number, since it is smaller than the sum of its proper divisors (113338854720).

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

28318530240 is a wasteful number, since it uses less digits than its factorization.

28318530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 28318530240 in words is "twenty-eight billion, three hundred eighteen million, five hundred thirty thousand, two hundred forty".