829428831 has 72 divisors (see below), whose sum is σ = 1600560000. Its totient is φ = 408149280.

The previous prime is 829428791. The next prime is 829428841. The reversal of 829428831 is 138824928.

It is not a de Polignac number, because 829428831 - 2¹³ = 829420639 is a prime.

It is a super-2 number, since 2×829428831² = 1375904371388053122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829428841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87670 + ... + 96668.

It is an arithmetic number, because the mean of its divisors is an integer number (22230000).

Almost surely, 2^829428831 is an apocalyptic number.

829428831 is a deficient number, since it is larger than the sum of its proper divisors (771131169).

829428831 is a wasteful number, since it uses less digits than its factorization.

829428831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9049 (or 9039 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 829428831 is about 28799.8060930972. The cubic root of 829428831 is about 939.5640165432.

The spelling of 829428831 in words is "eight hundred twenty-nine million, four hundred twenty-eight thousand, eight hundred thirty-one".