828238848 has 88 divisors (see below), whose sum is σ = 2216655360. Its totient is φ = 274944000.

The previous prime is 828238847. The next prime is 828238877. The reversal of 828238848 is 848832828.

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

It is a self number, because there is not a number n which added to its sum of digits gives 828238848.

It is not an unprimeable number, because it can be changed into a prime (828238847) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1102473 + ... + 1103223.

Almost surely, 2^828238848 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 828238848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108327680).

828238848 is an abundant number, since it is smaller than the sum of its proper divisors (1388416512).

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

828238848 is a wasteful number, since it uses less digits than its factorization.

828238848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1115 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 51.

The square root of 828238848 is about 28779.1391115162. The cubic root of 828238848 is about 939.1144701049.

The spelling of 828238848 in words is "eight hundred twenty-eight million, two hundred thirty-eight thousand, eight hundred forty-eight".