28595134464 has 448 divisors, whose sum is σ = 87854820480. Its totient is φ = 8210350080.

The previous prime is 28595134369. The next prime is 28595134493. The reversal of 28595134464 is 46443159582.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484663267 + ... + 484663325.

It is an arithmetic number, because the mean of its divisors is an integer number (196104510).

Almost surely, 2^28595134464 is an apocalyptic number.

28595134464 is a gapful number since it is divisible by the number (24) 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 28595134464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43927410240).

28595134464 is an abundant number, since it is smaller than the sum of its proper divisors (59259686016).

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

28595134464 is a wasteful number, since it uses less digits than its factorization.

28595134464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 51.

The spelling of 28595134464 in words is "twenty-eight billion, five hundred ninety-five million, one hundred thirty-four thousand, four hundred sixty-four".