305168128 has 36 divisors (see below), whose sum is σ = 611262288. Its totient is φ = 152053760.

The previous prime is 305168107. The next prime is 305168159. The reversal of 305168128 is 821861503.

It is a junction number, because it is equal to n+sod(n) for n = 305168093 and 305168102.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 77700 + ... + 81532.

It is an arithmetic number, because the mean of its divisors is an integer number (16979508).

Almost surely, 2^305168128 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 305168128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305631144).

305168128 is an abundant number, since it is smaller than the sum of its proper divisors (306094160).

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

305168128 is an equidigital number, since it uses as much as digits as its factorization.

305168128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 305168128 is about 17469.0620240470. The cubic root of 305168128 is about 673.2552125381.

The spelling of 305168128 in words is "three hundred five million, one hundred sixty-eight thousand, one hundred twenty-eight".