28242760768 has 56 divisors (see below), whose sum is σ = 56611354392. Its totient is φ = 13978804224.

The previous prime is 28242760751. The next prime is 28242760811. The reversal of 28242760768 is 86706724282.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5019439104 + 23223321664 = 70848^2 + 152392^2 .

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7208346 + ... + 7212262.

Almost surely, 2^28242760768 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 28242760768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28305677196).

28242760768 is an abundant number, since it is smaller than the sum of its proper divisors (28368593624).

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

28242760768 is a wasteful number, since it uses less digits than its factorization.

28242760768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5039 (or 5029 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 52.

The spelling of 28242760768 in words is "twenty-eight billion, two hundred forty-two million, seven hundred sixty thousand, seven hundred sixty-eight".