288882500 has 30 divisors (see below), whose sum is σ = 631733718. Its totient is φ = 115552000.

The previous prime is 288882499. The next prime is 288882509. The reversal of 288882500 is 5288882.

It can be written as a sum of positive squares in 5 ways, for example, as 66455104 + 222427396 = 8152^2 + 14914^2 .

It is not an unprimeable number, because it can be changed into a prime (288882509) 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 9 ways as a sum of consecutive naturals, for example, 55277 + ... + 60276.

Almost surely, 2^288882500 is an apocalyptic number.

288882500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288882500 is an abundant number, since it is smaller than the sum of its proper divisors (342851218).

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

288882500 is a wasteful number, since it uses less digits than its factorization.

288882500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115577 (or 115560 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 41.

The square root of 288882500 is about 16996.5437663073. The cubic root of 288882500 is about 661.0592876283.

The spelling of 288882500 in words is "two hundred eighty-eight million, eight hundred eighty-two thousand, five hundred".