9288140625 has 63 divisors (see below), whose sum is σ = 16835546221. Its totient is φ = 4934400000.

The previous prime is 9288140597. The next prime is 9288140627. The reversal of 9288140625 is 5260418829.

The square root of 9288140625 is 96375.

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

9288140625 is a `hidden beast` number, since 9 + 2 + 8 + 8 + 14 + 0 + 625 = 666.

9288140625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 8785125441 + 503015184 = 93729^2 + 22428^2 .

It is not a de Polignac number, because 9288140625 - 2⁵ = 9288140593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9288140627) 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 62 ways as a sum of consecutive naturals, for example, 36140497 + ... + 36140753.

Almost surely, 2^9288140625 is an apocalyptic number.

9288140625 is the 96375-th square number.

9288140625 is the 48188-th centered octagonal number.

It is an amenable number.

9288140625 is a deficient number, since it is larger than the sum of its proper divisors (7547405596).

9288140625 is an frugal number, since it uses more digits than its factorization.

9288140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The cubic root of 9288140625 is about 2102.0494448209.

The spelling of 9288140625 in words is "nine billion, two hundred eighty-eight million, one hundred forty thousand, six hundred twenty-five".