288752772 has 192 divisors, whose sum is σ = 879943680. Its totient is φ = 71539200.

The previous prime is 288752771. The next prime is 288752809. The reversal of 288752772 is 277257882.

It is not an unprimeable number, because it can be changed into a prime (288752771) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2649054 + ... + 2649162.

It is an arithmetic number, because the mean of its divisors is an integer number (4583040).

Almost surely, 2^288752772 is an apocalyptic number.

288752772 is a gapful number since it is divisible by the number (22) 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 288752772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439971840).

288752772 is an abundant number, since it is smaller than the sum of its proper divisors (591190908).

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

288752772 is a wasteful number, since it uses less digits than its factorization.

288752772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 240 counting only the distinct ones).

The product of its digits is 878080, while the sum is 48.

The square root of 288752772 is about 16992.7270324689. The cubic root of 288752772 is about 660.9603192016.

The spelling of 288752772 in words is "two hundred eighty-eight million, seven hundred fifty-two thousand, seven hundred seventy-two".