830825028 has 72 divisors (see below), whose sum is σ = 2296266336. Its totient is φ = 251193600.

The previous prime is 830825011. The next prime is 830825029. The reversal of 830825028 is 820528038.

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 = 830824983 and 830825001.

It is not an unprimeable number, because it can be changed into a prime (830825029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192300 + ... + 196572.

It is an arithmetic number, because the mean of its divisors is an integer number (31892588).

Almost surely, 2^830825028 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 830825028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148133168).

830825028 is an abundant number, since it is smaller than the sum of its proper divisors (1465441308).

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

830825028 is a wasteful number, since it uses less digits than its factorization.

830825028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785 (or 4780 counting only the distinct ones).

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

The square root of 830825028 is about 28824.0355953152. The cubic root of 830825028 is about 940.0909177188.

The spelling of 830825028 in words is "eight hundred thirty million, eight hundred twenty-five thousand, twenty-eight".