288772812 has 108 divisors (see below), whose sum is σ = 800254728. Its totient is φ = 87494400.

The previous prime is 288772801. The next prime is 288772817. The reversal of 288772812 is 218277882.

It is not an unprimeable number, because it can be changed into a prime (288772817) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 587887 + ... + 588377.

It is an arithmetic number, because the mean of its divisors is an integer number (7409766).

Almost surely, 2^288772812 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 288772812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400127364).

288772812 is an abundant number, since it is smaller than the sum of its proper divisors (511481916).

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

288772812 is a wasteful number, since it uses less digits than its factorization.

288772812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 544 counting only the distinct ones).

The product of its digits is 200704, while the sum is 45.

The square root of 288772812 is about 16993.3166862740. The cubic root of 288772812 is about 660.9756094888.

The spelling of 288772812 in words is "two hundred eighty-eight million, seven hundred seventy-two thousand, eight hundred twelve".