305444128 has 48 divisors (see below), whose sum is σ = 660308544. Its totient is φ = 137928960.

The previous prime is 305444119. The next prime is 305444143. The reversal of 305444128 is 821444503.

It is a super-2 number, since 2×305444128² = 186592230659360768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 305444128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52501 + ... + 58027.

It is an arithmetic number, because the mean of its divisors is an integer number (13756428).

Almost surely, 2^305444128 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 305444128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330154272).

305444128 is an abundant number, since it is smaller than the sum of its proper divisors (354864416).

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

305444128 is a wasteful number, since it uses less digits than its factorization.

305444128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5705 (or 5697 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 305444128 is about 17476.9599187044. The cubic root of 305444128 is about 673.4581197560.

The spelling of 305444128 in words is "three hundred five million, four hundred forty-four thousand, one hundred twenty-eight".