28038696768 has 252 divisors, whose sum is σ = 85790615820. Its totient is φ = 8753577984.

The previous prime is 28038696703. The next prime is 28038696769. The reversal of 28038696768 is 86769683082.

It can be written as a sum of positive squares in 6 ways, for example, as 120297024 + 27918399744 = 10968^2 + 167088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28038696769) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64754280 + ... + 64754712.

Almost surely, 2^28038696768 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 28038696768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42895307910).

28038696768 is an abundant number, since it is smaller than the sum of its proper divisors (57751919052).

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

28038696768 is a wasteful number, since it uses less digits than its factorization.

28038696768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 28038696768 in words is "twenty-eight billion, thirty-eight million, six hundred ninety-six thousand, seven hundred sixty-eight".