28434108336192 has 336 divisors, whose sum is σ = 88890034025520. Its totient is φ = 8637663412224.

The previous prime is 28434108336181. The next prime is 28434108336217. The reversal of 28434108336192 is 29163380143482.

28434108336192 is a `hidden beast` number, since 2 + 8 + 4 + 3 + 4 + 10 + 8 + 3 + 3 + 619 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6854887457856 + 21579220878336 = 2618184^2 + 4645344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448477038 + ... + 448540434.

It is an arithmetic number, because the mean of its divisors is an integer number (264553672695).

Almost surely, 2^{28434108336192} 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 28434108336192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44445017012760).

28434108336192 is an abundant number, since it is smaller than the sum of its proper divisors (60455925689328).

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

28434108336192 is a wasteful number, since it uses less digits than its factorization.

28434108336192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64190 (or 64177 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 28434108336192 in words is "twenty-eight trillion, four hundred thirty-four billion, one hundred eight million, three hundred thirty-six thousand, one hundred ninety-two".