830230128 has 320 divisors, whose sum is σ = 2999808000. Its totient is φ = 218453760.

The previous prime is 830230117. The next prime is 830230129. The reversal of 830230128 is 821032038.

830230128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830230129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1926073 + ... + 1926503.

It is an arithmetic number, because the mean of its divisors is an integer number (9374400).

Almost surely, 2^830230128 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 830230128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904000).

830230128 is an abundant number, since it is smaller than the sum of its proper divisors (2169577872).

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

830230128 is a wasteful number, since it uses less digits than its factorization.

830230128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 830230128 is about 28813.7142347182. The cubic root of 830230128 is about 939.8664847337.

The spelling of 830230128 in words is "eight hundred thirty million, two hundred thirty thousand, one hundred twenty-eight".