288763272 has 96 divisors (see below), whose sum is σ = 933112800. Its totient is φ = 82500768.

The previous prime is 288763271. The next prime is 288763283. The reversal of 288763272 is 272367882.

288763272 is a `hidden beast` number, since 2 + 8 + 8 + 7 + 632 + 7 + 2 = 666.

It is a super-2 number, since 2×288763272² = 166768454512291968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (288763271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3058 + ... + 24225.

It is an arithmetic number, because the mean of its divisors is an integer number (9719925).

Almost surely, 2^288763272 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 288763272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466556400).

288763272 is an abundant number, since it is smaller than the sum of its proper divisors (644349528).

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

288763272 is a wasteful number, since it uses less digits than its factorization.

288763272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27312 (or 27295 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 288763272 is about 16993.0359853677. The cubic root of 288763272 is about 660.9683306679.

The spelling of 288763272 in words is "two hundred eighty-eight million, seven hundred sixty-three thousand, two hundred seventy-two".