288971712 has 168 divisors, whose sum is σ = 910321776. Its totient is φ = 90574848.

The previous prime is 288971707. The next prime is 288971717. The reversal of 288971712 is 217179882.

It is an interprime number because it is at equal distance from previous prime (288971707) and next prime (288971717).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288971717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263838 + ... + 264930.

It is an arithmetic number, because the mean of its divisors is an integer number (5418582).

Almost surely, 2^288971712 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 288971712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455160888).

288971712 is an abundant number, since it is smaller than the sum of its proper divisors (621350064).

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

288971712 is a wasteful number, since it uses less digits than its factorization.

288971712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1115 counting only the distinct ones).

The product of its digits is 112896, while the sum is 45.

The square root of 288971712 is about 16999.1679796395. The cubic root of 288971712 is about 661.1273295385.

The spelling of 288971712 in words is "two hundred eighty-eight million, nine hundred seventy-one thousand, seven hundred twelve".