288797072967 has 12 divisors (see below), whose sum is σ = 449239891464. Its totient is φ = 177721275600.

The previous prime is 288797072933. The next prime is 288797072987. The reversal of 288797072967 is 769270797882.

It is a de Polignac number, because none of the positive numbers 2^k-288797072967 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 288797072895 and 288797072904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288797072987) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1234175409 + ... + 1234175642.

It is an arithmetic number, because the mean of its divisors is an integer number (37436657622).

Almost surely, 2^288797072967 is an apocalyptic number.

288797072967 is a deficient number, since it is larger than the sum of its proper divisors (160442818497).

288797072967 is a wasteful number, since it uses less digits than its factorization.

288797072967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468351070 (or 2468351067 counting only the distinct ones).

The product of its (nonzero) digits is 298722816, while the sum is 72.

The spelling of 288797072967 in words is "two hundred eighty-eight billion, seven hundred ninety-seven million, seventy-two thousand, nine hundred sixty-seven".