825028830 has 192 divisors, whose sum is σ = 2372198400. Its totient is φ = 198132480.

The previous prime is 825028781. The next prime is 825028847. The reversal of 825028830 is 38820528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6297865 + ... + 6297995.

It is an arithmetic number, because the mean of its divisors is an integer number (12355200).

Almost surely, 2^825028830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825028830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186099200).

825028830 is an abundant number, since it is smaller than the sum of its proper divisors (1547169570).

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

825028830 is a wasteful number, since it uses less digits than its factorization.

825028830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 316 counting only the distinct ones).

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

The square root of 825028830 is about 28723.3150941879. The cubic root of 825028830 is about 937.8996525388.

The spelling of 825028830 in words is "eight hundred twenty-five million, twenty-eight thousand, eight hundred thirty".