28132464768 has 128 divisors (see below), whose sum is σ = 77418244800. Its totient is φ = 9040711680.

The previous prime is 28132464761. The next prime is 28132464793. The reversal of 28132464768 is 86746423182.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×28132464768³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 28132464768.

It is not an unprimeable number, because it can be changed into a prime (28132464761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9831658 + ... + 9834518.

Almost surely, 2^28132464768 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 28132464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38709122400).

28132464768 is an abundant number, since it is smaller than the sum of its proper divisors (49285780032).

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

28132464768 is a wasteful number, since it uses less digits than its factorization.

28132464768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3790 (or 3778 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 51.

The spelling of 28132464768 in words is "twenty-eight billion, one hundred thirty-two million, four hundred sixty-four thousand, seven hundred sixty-eight".