28789589640 has 256 divisors, whose sum is σ = 107255808000. Its totient is φ = 6032931840.

The previous prime is 28789589639. The next prime is 28789589651. The reversal of 28789589640 is 4698598782.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

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 63 ways as a sum of consecutive naturals, for example, 465666 + ... + 523854.

It is an arithmetic number, because the mean of its divisors is an integer number (418968000).

Almost surely, 2^28789589640 is an apocalyptic number.

28789589640 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 28789589640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53627904000).

28789589640 is an abundant number, since it is smaller than the sum of its proper divisors (78466218360).

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

28789589640 is a wasteful number, since it uses less digits than its factorization.

28789589640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58260 (or 58256 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 66.

The spelling of 28789589640 in words is "twenty-eight billion, seven hundred eighty-nine million, five hundred eighty-nine thousand, six hundred forty".