948528 has 60 divisors (see below), whose sum is σ = 3037008. Its totient is φ = 270720.

The previous prime is 948517. The next prime is 948533. The reversal of 948528 is 825849.

948528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 948492 and 948501.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 538 + ... + 1478.

2⁹⁴⁸⁵²⁸ 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 948528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518504).

948528 is an abundant number, since it is smaller than the sum of its proper divisors (2088480).

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

948528 is a wasteful number, since it uses less digits than its factorization.

948528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 953 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 948528 is about 973.9240216773. The cubic root of 948528 is about 98.2539574577.

The spelling of 948528 in words is "nine hundred forty-eight thousand, five hundred twenty-eight".