830305728 has 336 divisors, whose sum is σ = 2929006080. Its totient is φ = 228178944.

The previous prime is 830305691. The next prime is 830305733. The reversal of 830305728 is 827503038.

830305728 is a `hidden beast` number, since 83 + 0 + 3 + 0 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 830305692 and 830305701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3156925 + ... + 3157187.

It is an arithmetic number, because the mean of its divisors is an integer number (8717280).

Almost surely, 2^830305728 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 830305728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464503040).

830305728 is an abundant number, since it is smaller than the sum of its proper divisors (2098700352).

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

830305728 is a wasteful number, since it uses less digits than its factorization.

830305728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 304 counting only the distinct ones).

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

The square root of 830305728 is about 28815.0260801548. The cubic root of 830305728 is about 939.8950116635.

The spelling of 830305728 in words is "eight hundred thirty million, three hundred five thousand, seven hundred twenty-eight".