305641728 has 144 divisors (see below), whose sum is σ = 1033119360. Its totient is φ = 87312384.

The previous prime is 305641703. The next prime is 305641747. The reversal of 305641728 is 827146503.

305641728 is a `hidden beast` number, since 3 + 0 + 5 + 641 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 305641692 and 305641701.

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, 45226 + ... + 51542.

It is an arithmetic number, because the mean of its divisors is an integer number (7174440).

Almost surely, 2^305641728 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 305641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516559680).

305641728 is an abundant number, since it is smaller than the sum of its proper divisors (727477632).

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

305641728 is an equidigital number, since it uses as much as digits as its factorization.

305641728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6349 (or 6329 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 305641728 is about 17482.6121618024. The cubic root of 305641728 is about 673.6033144914.

The spelling of 305641728 in words is "three hundred five million, six hundred forty-one thousand, seven hundred twenty-eight".