828429336 has 128 divisors (see below), whose sum is σ = 2768448000. Its totient is φ = 224228736.

The previous prime is 828429319. The next prime is 828429361. The reversal of 828429336 is 633924828.

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

It is a junction number, because it is equal to n+sod(n) for n = 828429291 and 828429300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14310 + ... + 43146.

It is an arithmetic number, because the mean of its divisors is an integer number (21628500).

Almost surely, 2^828429336 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 828429336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384224000).

828429336 is an abundant number, since it is smaller than the sum of its proper divisors (1940018664).

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

828429336 is a wasteful number, since it uses less digits than its factorization.

828429336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28878 (or 28868 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 828429336 is about 28782.4484017604. The cubic root of 828429336 is about 939.1864607410.

The spelling of 828429336 in words is "eight hundred twenty-eight million, four hundred twenty-nine thousand, three hundred thirty-six".