288896322 has 64 divisors (see below), whose sum is σ = 691721856. Its totient is φ = 79272960.

The previous prime is 288896287. The next prime is 288896323. The reversal of 288896322 is 223698882.

It is a super-2 number, since 2×288896322² = 166922169730255368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (288896323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42298 + ... + 48650.

It is an arithmetic number, because the mean of its divisors is an integer number (10808154).

Almost surely, 2^288896322 is an apocalyptic number.

288896322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 288896322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345860928).

288896322 is an abundant number, since it is smaller than the sum of its proper divisors (402825534).

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

288896322 is a wasteful number, since it uses less digits than its factorization.

288896322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6435.

The product of its digits is 663552, while the sum is 48.

The square root of 288896322 is about 16996.9503735229. The cubic root of 288896322 is about 661.0698305719.

The spelling of 288896322 in words is "two hundred eighty-eight million, eight hundred ninety-six thousand, three hundred twenty-two".