829960128 has 224 divisors, whose sum is σ = 2721254400. Its totient is φ = 246509568.

The previous prime is 829960123. The next prime is 829960133. The reversal of 829960128 is 821069928.

It is an interprime number because it is at equal distance from previous prime (829960123) and next prime (829960133).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829960121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557401 + ... + 558887.

Almost surely, 2^829960128 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 829960128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360627200).

829960128 is an abundant number, since it is smaller than the sum of its proper divisors (1891294272).

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

829960128 is a wasteful number, since it uses less digits than its factorization.

829960128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 829960128 is about 28809.0285848031. The cubic root of 829960128 is about 939.7645887026.

The spelling of 829960128 in words is "eight hundred twenty-nine million, nine hundred sixty thousand, one hundred twenty-eight".