288723528900 has 81 divisors (see below), whose sum is σ = 905038390893. Its totient is φ = 76988642400.

The previous prime is 288723528889. The next prime is 288723528917. The reversal of 288723528900 is 9825327882.

It is a happy number.

The square root of 288723528900 is 537330.

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

288723528900 is a `hidden beast` number, since 2 + 8 + 8 + 7 + 23 + 528 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103940470404 + 184783058496 = 322398^2 + 429864^2 .

It is a super-2 number, since 2×288723528900² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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, 16110945 + ... + 16128855.

Almost surely, 2^288723528900 is an apocalyptic number.

288723528900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

288723528900 is the 537330-th square number.

It is an amenable number.

288723528900 is an abundant number, since it is smaller than the sum of its proper divisors (616314861993).

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

288723528900 is an equidigital number, since it uses as much as digits as its factorization.

288723528900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35842 (or 17921 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 288723528900 in words is "two hundred eighty-eight billion, seven hundred twenty-three million, five hundred twenty-eight thousand, nine hundred".