288842828481 has 27 divisors (see below), whose sum is σ = 436201999779. Its totient is φ = 184165982352.

The previous prime is 288842828473. The next prime is 288842828497. The reversal of 288842828481 is 184828248882.

The square root of 288842828481 is 537441.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 170768124081 + 118074704400 = 413241^2 + 343620^2 .

It is not a de Polignac number, because 288842828481 - 2³ = 288842828473 is a prime.

It is a super-2 number, since 2×288842828481² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (288842828441) 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 26 ways as a sum of consecutive naturals, for example, 37079535 + ... + 37087323.

Almost surely, 2^288842828481 is an apocalyptic number.

288842828481 is the 537441-st square number.

288842828481 is the 268721-st centered octagonal number.

It is an amenable number.

288842828481 is a deficient number, since it is larger than the sum of its proper divisors (147359171298).

288842828481 is an frugal number, since it uses more digits than its factorization.

288842828481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15630 (or 7815 counting only the distinct ones).

The product of its digits is 33554432, while the sum is 63.

The spelling of 288842828481 in words is "two hundred eighty-eight billion, eight hundred forty-two million, eight hundred twenty-eight thousand, four hundred eighty-one".