828793938 has 48 divisors (see below), whose sum is σ = 1931982624. Its totient is φ = 236335680.

The previous prime is 828793921. The next prime is 828793957. The reversal of 828793938 is 839397828.

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 23 ways as a sum of consecutive naturals, for example, 165406 + ... + 170342.

It is an arithmetic number, because the mean of its divisors is an integer number (40249638).

Almost surely, 2^828793938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828793938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965991312).

828793938 is an abundant number, since it is smaller than the sum of its proper divisors (1103188686).

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

828793938 is a wasteful number, since it uses less digits than its factorization.

828793938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527 (or 5520 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The square root of 828793938 is about 28788.7814608399. The cubic root of 828793938 is about 939.3242230597.

The spelling of 828793938 in words is "eight hundred twenty-eight million, seven hundred ninety-three thousand, nine hundred thirty-eight".