878528 has 56 divisors (see below), whose sum is σ = 2084832. Its totient is φ = 359424.

The previous prime is 878513. The next prime is 878539. The reversal of 878528 is 825878.

878528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×878528² = 1543622893568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 878491 and 878500.

It is a congruent number.

It is an unprimeable number.

878528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16550 + ... + 16602.

2⁸⁷⁸⁵²⁸ 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 878528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042416).

878528 is an abundant number, since it is smaller than the sum of its proper divisors (1206304).

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

878528 is a wasteful number, since it uses less digits than its factorization.

878528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 99 counting only the distinct ones).

The product of its digits is 35840, while the sum is 38.

The square root of 878528 is about 937.2982449573. The cubic root of 878528 is about 95.7749357302.

Subtracting from 878528 its reverse (825878), we obtain a triangular number (52650 = T₃₂₄).

The spelling of 878528 in words is "eight hundred seventy-eight thousand, five hundred twenty-eight".