28800766769 has 6 divisors (see below), whose sum is σ = 29125989990. Its totient is φ = 28475579616.

The previous prime is 28800766759. The next prime is 28800766793. The reversal of 28800766769 is 96766700882.

It can be written as a sum of positive squares in 3 ways, for example, as 6986953744 + 21813813025 = 83588^2 + 147695^2 .

It is a de Polignac number, because none of the positive numbers 2^k-28800766769 is a prime.

It is a super-2 number, since 2×28800766769² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28800766759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1592027 + ... + 1610015.

It is an arithmetic number, because the mean of its divisors is an integer number (4854331665).

Almost surely, 2^28800766769 is an apocalyptic number.

It is an amenable number.

28800766769 is a deficient number, since it is larger than the sum of its proper divisors (325223221).

28800766769 is an frugal number, since it uses more digits than its factorization.

28800766769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36067 (or 18078 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 59.

The spelling of 28800766769 in words is "twenty-eight billion, eight hundred million, seven hundred sixty-six thousand, seven hundred sixty-nine".