305028 has 36 divisors (see below), whose sum is σ = 795340. Its totient is φ = 98496.

The previous prime is 305023. The next prime is 305029. The reversal of 305028 is 820503.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 26244 = 528^2 + 162^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 305028.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 305028.

It is not an unprimeable number, because it can be changed into a prime (305021) by changing a digit.

305028 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 11 ways as a sum of consecutive naturals, for example, 1218 + ... + 1446.

2³⁰⁵⁰²⁸ 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 305028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397670).

305028 is an abundant number, since it is smaller than the sum of its proper divisors (490312).

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

305028 is a wasteful number, since it uses less digits than its factorization.

305028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 305028 is about 552.2934002865. The cubic root of 305028 is about 67.3152147657.

The spelling of 305028 in words is "three hundred five thousand, twenty-eight".