825428 has 12 divisors (see below), whose sum is σ = 1478400. Its totient is φ = 403032.

The previous prime is 825421. The next prime is 825439. The reversal of 825428 is 824528.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 825428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825421) by changing a digit.

825428 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 3 ways as a sum of consecutive naturals, for example, 2228 + ... + 2571.

It is an arithmetic number, because the mean of its divisors is an integer number (123200).

2⁸²⁵⁴²⁸ is an apocalyptic number.

It is an amenable number.

825428 is a deficient number, since it is larger than the sum of its proper divisors (652972).

825428 is a wasteful number, since it uses less digits than its factorization.

825428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4846 (or 4844 counting only the distinct ones).

The product of its digits is 5120, while the sum is 29.

The square root of 825428 is about 908.5306819255. The cubic root of 825428 is about 93.8050888079.

Subtracting from 825428 its reverse (824528), we obtain a square (900 = 30²).

It can be divided in two parts, 82 and 5428, that multiplied together give a triangular number (445096 = T₉₄₃).

The spelling of 825428 in words is "eight hundred twenty-five thousand, four hundred twenty-eight".