28507433346432 has 192 divisors, whose sum is σ = 84569186388960. Its totient is φ = 9211658526720.

The previous prime is 28507433346341. The next prime is 28507433346439. The reversal of 28507433346432 is 23464333470582.

28507433346432 is a `hidden beast` number, since 2 + 8 + 50 + 74 + 3 + 33 + 464 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28507433346439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5493253 + ... + 9337595.

Almost surely, 2^{28507433346432} 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 28507433346432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42284593194480).

28507433346432 is an abundant number, since it is smaller than the sum of its proper divisors (56061753042528).

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

28507433346432 is a wasteful number, since it uses less digits than its factorization.

28507433346432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3844561 (or 3844546 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 54.

The spelling of 28507433346432 in words is "twenty-eight trillion, five hundred seven billion, four hundred thirty-three million, three hundred forty-six thousand, four hundred thirty-two".