28434459312 has 360 divisors, whose sum is σ = 95265331200. Its totient is φ = 7890349824.

The previous prime is 28434459311. The next prime is 28434459409. The reversal of 28434459312 is 21395443482.

28434459312 is a `hidden beast` number, since 2 + 8 + 4 + 3 + 44 + 593 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (28434459311) 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 71 ways as a sum of consecutive naturals, for example, 59361889 + ... + 59362367.

It is an arithmetic number, because the mean of its divisors is an integer number (264625920).

Almost surely, 2^28434459312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28434459312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47632665600).

28434459312 is an abundant number, since it is smaller than the sum of its proper divisors (66830871888).

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

28434459312 is a wasteful number, since it uses less digits than its factorization.

28434459312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 717 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 28434459312 in words is "twenty-eight billion, four hundred thirty-four million, four hundred fifty-nine thousand, three hundred twelve".