288874872 has 96 divisors (see below), whose sum is σ = 919180080. Its totient is φ = 80801280.

The previous prime is 288874867. The next prime is 288874877. The reversal of 288874872 is 278478882.

288874872 is a `hidden beast` number, since 2 + 88 + 87 + 487 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (288874867) and next prime (288874877).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288874877) 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, 3733 + ... + 24324.

Almost surely, 2^288874872 is an apocalyptic number.

288874872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288874872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459590040).

288874872 is an abundant number, since it is smaller than the sum of its proper divisors (630305208).

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

288874872 is a wasteful number, since it uses less digits than its factorization.

288874872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28093 (or 28086 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 54.

The square root of 288874872 is about 16996.3193662628. The cubic root of 288874872 is about 661.0534691096.

The spelling of 288874872 in words is "two hundred eighty-eight million, eight hundred seventy-four thousand, eight hundred seventy-two".