305468928 has 160 divisors (see below), whose sum is σ = 952617600. Its totient is φ = 96380928.

The previous prime is 305468899. The next prime is 305468941. The reversal of 305468928 is 829864503.

305468928 is a `hidden beast` number, since 3 + 0 + 546 + 89 + 28 = 666.

It is a super-2 number, since 2×305468928² = 186622531946938368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262075 + ... + 263237.

It is an arithmetic number, because the mean of its divisors is an integer number (5953860).

Almost surely, 2^305468928 is an apocalyptic number.

305468928 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305468928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476308800).

305468928 is an abundant number, since it is smaller than the sum of its proper divisors (647148672).

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

305468928 is a wasteful number, since it uses less digits than its factorization.

305468928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 305468928 is about 17477.6694098498. The cubic root of 305468928 is about 673.4763460128.

The spelling of 305468928 in words is "three hundred five million, four hundred sixty-eight thousand, nine hundred twenty-eight".