288082272 has 48 divisors (see below), whose sum is σ = 800703792. Its totient is φ = 90378240.

The previous prime is 288082217. The next prime is 288082273. The reversal of 288082272 is 272280882.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 288082272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288082273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86629 + ... + 89892.

It is an arithmetic number, because the mean of its divisors is an integer number (16681329).

Almost surely, 2^288082272 is an apocalyptic number.

It is an amenable number.

288082272 is an abundant number, since it is smaller than the sum of its proper divisors (512621520).

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

288082272 is a wasteful number, since it uses less digits than its factorization.

288082272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176551 (or 176543 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 288082272 is about 16972.9865374365. The cubic root of 288082272 is about 660.4483271620.

The spelling of 288082272 in words is "two hundred eighty-eight million, eighty-two thousand, two hundred seventy-two".