288612500 has 72 divisors (see below), whose sum is σ = 689018400. Its totient is φ = 104900000.

The previous prime is 288612481. The next prime is 288612503. The reversal of 288612500 is 5216882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288612503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136451 + ... + 138549.

It is an arithmetic number, because the mean of its divisors is an integer number (9569700).

Almost surely, 2^288612500 is an apocalyptic number.

288612500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288612500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344509200).

288612500 is an abundant number, since it is smaller than the sum of its proper divisors (400405900).

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

288612500 is a wasteful number, since it uses less digits than its factorization.

288612500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 288612500 is about 16988.5991182322. The cubic root of 288612500 is about 660.8532734841.

The spelling of 288612500 in words is "two hundred eighty-eight million, six hundred twelve thousand, five hundred".