305087328 has 216 divisors, whose sum is σ = 1087527168. Its totient is φ = 80414208.

The previous prime is 305087309. The next prime is 305087329. The reversal of 305087328 is 823780503.

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 = 305087292 and 305087301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305087329) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 182625 + ... + 184287.

It is an arithmetic number, because the mean of its divisors is an integer number (5034848).

Almost surely, 2^305087328 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 305087328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543763584).

305087328 is an abundant number, since it is smaller than the sum of its proper divisors (782439840).

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

305087328 is a wasteful number, since it uses less digits than its factorization.

305087328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1688 counting only the distinct ones).

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

The square root of 305087328 is about 17466.7492110009. The cubic root of 305087328 is about 673.1957875654.

The spelling of 305087328 in words is "three hundred five million, eighty-seven thousand, three hundred twenty-eight".