288246672 has 120 divisors (see below), whose sum is σ = 962093184. Its totient is φ = 78769152.

The previous prime is 288246671. The next prime is 288246677. The reversal of 288246672 is 276642882.

It is a super-2 number, since 2×288246672² = 166172287838151168, 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 (288246671) 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, 16968 + ... + 29400.

Almost surely, 2^288246672 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 288246672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481046592).

288246672 is an abundant number, since it is smaller than the sum of its proper divisors (673846512).

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

288246672 is a wasteful number, since it uses less digits than its factorization.

288246672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12477 (or 12468 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 288246672 is about 16977.8288364561. The cubic root of 288246672 is about 660.5739360223.

The spelling of 288246672 in words is "two hundred eighty-eight million, two hundred forty-six thousand, six hundred seventy-two".