870828 has 36 divisors (see below), whose sum is σ = 2365272. Its totient is φ = 248640.

The previous prime is 870823. The next prime is 870833. The reversal of 870828 is 828078.

870828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (870823) and next prime (870833).

It is not an unprimeable number, because it can be changed into a prime (870823) 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, 153 + ... + 1328.

It is an arithmetic number, because the mean of its divisors is an integer number (65702).

2⁸⁷⁰⁸²⁸ 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 870828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182636).

870828 is an abundant number, since it is smaller than the sum of its proper divisors (1494444).

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

870828 is a wasteful number, since it uses less digits than its factorization.

870828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 870828 is about 933.1816543417. The cubic root of 870828 is about 95.4943026306.

The spelling of 870828 in words is "eight hundred seventy thousand, eight hundred twenty-eight".