829998899928 has 384 divisors, whose sum is σ = 2538058199040. Its totient is φ = 242860032000.

The previous prime is 829998899843. The next prime is 829998899987.

829998899928 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2261577201 + ... + 2261577567.

It is an arithmetic number, because the mean of its divisors is an integer number (6609526560).

Almost surely, 2^829998899928 is an apocalyptic number.

829998899928 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829998899928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269029099520).

829998899928 is an abundant number, since it is smaller than the sum of its proper divisors (1708059299112).

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

829998899928 is a wasteful number, since it uses less digits than its factorization.

829998899928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 952 counting only the distinct ones).

The product of its digits is 8707129344, while the sum is 90.

The spelling of 829998899928 in words is "eight hundred twenty-nine billion, nine hundred ninety-eight million, eight hundred ninety-nine thousand, nine hundred twenty-eight".