288222592 has 64 divisors (see below), whose sum is σ = 659197440. Its totient is φ = 122964480.

The previous prime is 288222587. The next prime is 288222617. The reversal of 288222592 is 295222882.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242223 + ... + 243409.

It is an arithmetic number, because the mean of its divisors is an integer number (10299960).

Almost surely, 2^288222592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288222592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329598720).

288222592 is an abundant number, since it is smaller than the sum of its proper divisors (370974848).

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

288222592 is a wasteful number, since it uses less digits than its factorization.

288222592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1467 counting only the distinct ones).

The product of its digits is 92160, while the sum is 40.

The square root of 288222592 is about 16977.1196614738. The cubic root of 288222592 is about 660.5555408248. Note that the first 4 decimals are identical.

The spelling of 288222592 in words is "two hundred eighty-eight million, two hundred twenty-two thousand, five hundred ninety-two".