28007845632 has 432 divisors, whose sum is σ = 91871095680. Its totient is φ = 8457302016.

The previous prime is 28007845631. The next prime is 28007845643. The reversal of 28007845632 is 23654870082.

28007845632 is a `hidden beast` number, since 2 + 8 + 0 + 0 + 7 + 8 + 4 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28007845631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47713243 + ... + 47713829.

Almost surely, 2^28007845632 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 28007845632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45935547840).

28007845632 is an abundant number, since it is smaller than the sum of its proper divisors (63863250048).

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

28007845632 is an equidigital number, since it uses as much as digits as its factorization.

28007845632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 28007845632 in words is "twenty-eight billion, seven million, eight hundred forty-five thousand, six hundred thirty-two".