288211296 has 48 divisors (see below), whose sum is σ = 761670000. Its totient is φ = 95420928.

The previous prime is 288211291. The next prime is 288211307. The reversal of 288211296 is 692112882.

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

It is a super-2 number, since 2×288211296² = 166131502283999232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288211291) 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 7 ways as a sum of consecutive naturals, for example, 4230 + ... + 24378.

It is an arithmetic number, because the mean of its divisors is an integer number (15868125).

Almost surely, 2^288211296 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 288211296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380835000).

288211296 is an abundant number, since it is smaller than the sum of its proper divisors (473458704).

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

288211296 is a wasteful number, since it uses less digits than its factorization.

288211296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20311 (or 20303 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 288211296 is about 16976.7869751611. The cubic root of 288211296 is about 660.5469112296.

The spelling of 288211296 in words is "two hundred eighty-eight million, two hundred eleven thousand, two hundred ninety-six".