829813248 has 400 divisors, whose sum is σ = 2887609824. Its totient is φ = 234455040.

The previous prime is 829813223. The next prime is 829813253. The reversal of 829813248 is 842318928.

It is a super-3 number, since 3×829813248³ (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7755211 + ... + 7755317.

Almost surely, 2^829813248 is an apocalyptic number.

829813248 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 829813248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443804912).

829813248 is an abundant number, since it is smaller than the sum of its proper divisors (2057796576).

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

829813248 is a wasteful number, since it uses less digits than its factorization.

829813248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 140 counting only the distinct ones).

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

The square root of 829813248 is about 28806.4792711640. The cubic root of 829813248 is about 939.7091479806.

The spelling of 829813248 in words is "eight hundred twenty-nine million, eight hundred thirteen thousand, two hundred forty-eight".