872928 has 72 divisors (see below), whose sum is σ = 2843568. Its totient is φ = 248832.

The previous prime is 872923. The next prime is 872947. The reversal of 872928 is 829278.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 872892 and 872901.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 872928.

It is not an unprimeable number, because it can be changed into a prime (872923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1800 + ... + 2232.

It is an arithmetic number, because the mean of its divisors is an integer number (39494).

2⁸⁷²⁹²⁸ 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 872928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421784).

872928 is an abundant number, since it is smaller than the sum of its proper divisors (1970640).

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

872928 is a wasteful number, since it uses less digits than its factorization.

872928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 445 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 872928 is about 934.3061596714. The cubic root of 872928 is about 95.5710024504.

The spelling of 872928 in words is "eight hundred seventy-two thousand, nine hundred twenty-eight".