28585509120 has 864 divisors, whose sum is σ = 123566177280. Its totient is φ = 6180986880.

The previous prime is 28585509109. The next prime is 28585509149. The reversal of 28585509120 is 2190558582.

It is a happy number.

28585509120 is a `hidden beast` number, since 2 + 8 + 5 + 8 + 550 + 91 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41367975 + ... + 41368665.

Almost surely, 2^28585509120 is an apocalyptic number.

28585509120 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 28585509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61783088640).

28585509120 is an abundant number, since it is smaller than the sum of its proper divisors (94980668160).

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

28585509120 is an equidigital number, since it uses as much as digits as its factorization.

28585509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 28585509120 in words is "twenty-eight billion, five hundred eighty-five million, five hundred nine thousand, one hundred twenty".