305828 has 12 divisors (see below), whose sum is σ = 541212. Its totient is φ = 151200.

The previous prime is 305821. The next prime is 305839. The reversal of 305828 is 828503.

305828 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 252004 + 53824 = 502^2 + 232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 305797 and 305806.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 305828.

It is not an unprimeable number, because it can be changed into a prime (305821) by changing a digit.

305828 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, 26 + ... + 782.

It is an arithmetic number, because the mean of its divisors is an integer number (45101).

2³⁰⁵⁸²⁸ is an apocalyptic number.

It is an amenable number.

305828 is a deficient number, since it is larger than the sum of its proper divisors (235384).

305828 is a wasteful number, since it uses less digits than its factorization.

305828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 305828 is about 553.0171787567. The cubic root of 305828 is about 67.3740128222.

The spelling of 305828 in words is "three hundred five thousand, eight hundred twenty-eight".