872828736 has 112 divisors (see below), whose sum is σ = 2499043008. Its totient is φ = 267264000.

The previous prime is 872828731. The next prime is 872828741. The reversal of 872828736 is 637828278.

It is an interprime number because it is at equal distance from previous prime (872828731) and next prime (872828741).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872828731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 600811 + ... + 602261.

It is an arithmetic number, because the mean of its divisors is an integer number (22312884).

Almost surely, 2^872828736 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 872828736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249521504).

872828736 is an abundant number, since it is smaller than the sum of its proper divisors (1626214272).

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

872828736 is a wasteful number, since it uses less digits than its factorization.

872828736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1710 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 872828736 is about 29543.6750591391. The cubic root of 872828736 is about 955.6737973104.

The spelling of 872828736 in words is "eight hundred seventy-two million, eight hundred twenty-eight thousand, seven hundred thirty-six".