288928820725424 has 80 divisors (see below), whose sum is σ = 611253265144320. Its totient is φ = 131210285921280.

The previous prime is 288928820725393. The next prime is 288928820725429. The reversal of 288928820725424 is 424527028829882.

It is not an unprimeable number, because it can be changed into a prime (288928820725429) 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, 1297401317 + ... + 1297623995.

It is an arithmetic number, because the mean of its divisors is an integer number (7640665814304).

Almost surely, 2^{288928820725424} is an apocalyptic number.

It is an amenable number.

288928820725424 is an abundant number, since it is smaller than the sum of its proper divisors (322324444418896).

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

288928820725424 is a wasteful number, since it uses less digits than its factorization.

288928820725424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229458 (or 229452 counting only the distinct ones).

The product of its (nonzero) digits is 660602880, while the sum is 71.

The spelling of 288928820725424 in words is "two hundred eighty-eight trillion, nine hundred twenty-eight billion, eight hundred twenty million, seven hundred twenty-five thousand, four hundred twenty-four".