305828208 has 180 divisors, whose sum is σ = 1008886320. Its totient is φ = 86220288.

The previous prime is 305828203. The next prime is 305828213. The reversal of 305828208 is 802828503.

It is an interprime number because it is at equal distance from previous prime (305828203) and next prime (305828213).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305828203) 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, 627741 + ... + 628227.

It is an arithmetic number, because the mean of its divisors is an integer number (5604924).

Almost surely, 2^305828208 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 305828208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504443160).

305828208 is an abundant number, since it is smaller than the sum of its proper divisors (703058112).

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

305828208 is a wasteful number, since it uses less digits than its factorization.

305828208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 305828208 is about 17487.9446476709. The cubic root of 305828208 is about 673.7402809640.

The spelling of 305828208 in words is "three hundred five million, eight hundred twenty-eight thousand, two hundred eight".