872874288 has 480 divisors, whose sum is σ = 3184796160. Its totient is φ = 218972160.

The previous prime is 872874287. The next prime is 872874293. The reversal of 872874288 is 882478278.

872874288 is a `hidden beast` number, since 87 + 287 + 4 + 288 = 666.

It is not an unprimeable number, because it can be changed into a prime (872874281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8998656 + ... + 8998752.

It is an arithmetic number, because the mean of its divisors is an integer number (6634992).

Almost surely, 2^872874288 is an apocalyptic number.

872874288 is a gapful number since it is divisible by the number (88) 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 872874288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592398080).

872874288 is an abundant number, since it is smaller than the sum of its proper divisors (2311921872).

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

872874288 is a wasteful number, since it uses less digits than its factorization.

872874288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 168 counting only the distinct ones).

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

The square root of 872874288 is about 29544.4459755129. The cubic root of 872874288 is about 955.6904222196.

The spelling of 872874288 in words is "eight hundred seventy-two million, eight hundred seventy-four thousand, two hundred eighty-eight".