872888832 has 160 divisors (see below), whose sum is σ = 2604476160. Its totient is φ = 288645120.

The previous prime is 872888827. The next prime is 872888837. The reversal of 872888832 is 238888278.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (872888827) and next prime (872888837).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (872888837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3220857 + ... + 3221127.

It is an arithmetic number, because the mean of its divisors is an integer number (16277976).

Almost surely, 2^872888832 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 872888832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302238080).

872888832 is an abundant number, since it is smaller than the sum of its proper divisors (1731587328).

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

872888832 is a wasteful number, since it uses less digits than its factorization.

872888832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 509 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 54.

The square root of 872888832 is about 29544.6921121206. The cubic root of 872888832 is about 955.6957301563.

The spelling of 872888832 in words is "eight hundred seventy-two million, eight hundred eighty-eight thousand, eight hundred thirty-two".