28436432088064 has 528 divisors, whose sum is σ = 78414560663040. Its totient is φ = 10131036733440.

The previous prime is 28436432087953. The next prime is 28436432088079. The reversal of 28436432088064 is 46088023463482.

It is a happy number.

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, 767724457 + ... + 767761495.

Almost surely, 2^{28436432088064} 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 28436432088064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39207280331520).

28436432088064 is an abundant number, since it is smaller than the sum of its proper divisors (49978128574976).

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

28436432088064 is a wasteful number, since it uses less digits than its factorization.

28436432088064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37204 (or 37179 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 58.

The spelling of 28436432088064 in words is "twenty-eight trillion, four hundred thirty-six billion, four hundred thirty-two million, eighty-eight thousand, sixty-four".