829228428 has 120 divisors (see below), whose sum is σ = 2497254144. Its totient is φ = 235029600.

The previous prime is 829228391. The next prime is 829228441. The reversal of 829228428 is 824822928.

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, 295713 + ... + 298503.

Almost surely, 2^829228428 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 829228428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248627072).

829228428 is an abundant number, since it is smaller than the sum of its proper divisors (1668025716).

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

829228428 is a wasteful number, since it uses less digits than its factorization.

829228428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2934 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 829228428 is about 28796.3266407367. The cubic root of 829228428 is about 939.4883393192.

The spelling of 829228428 in words is "eight hundred twenty-nine million, two hundred twenty-eight thousand, four hundred twenty-eight".