828428 has 12 divisors (see below), whose sum is σ = 1470672. Its totient is φ = 408240.

The previous prime is 828409. The next prime is 828431. The reversal of 828428 is 824828.

It is a junction number, because it is equal to n+sod(n) for n = 828394 and 828403.

It is an unprimeable number.

828428 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1175 + ... + 1742.

It is an arithmetic number, because the mean of its divisors is an integer number (122556).

2⁸²⁸⁴²⁸ is an apocalyptic number.

It is an amenable number.

828428 is a deficient number, since it is larger than the sum of its proper divisors (642244).

828428 is a wasteful number, since it uses less digits than its factorization.

828428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2990 counting only the distinct ones).

The product of its digits is 8192, while the sum is 32.

The square root of 828428 is about 910.1802019381. The cubic root of 828428 is about 93.9185955868.

Subtracting from 828428 its reverse (824828), we obtain a square (3600 = 60²).

The spelling of 828428 in words is "eight hundred twenty-eight thousand, four hundred twenty-eight".