828681336 has 144 divisors (see below), whose sum is σ = 2695343040. Its totient is φ = 229098240.

The previous prime is 828681331. The next prime is 828681349. The reversal of 828681336 is 633186828.

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 = 828681291 and 828681300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828681331) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105580 + ... + 113156.

It is an arithmetic number, because the mean of its divisors is an integer number (18717660).

Almost surely, 2^828681336 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 828681336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347671520).

828681336 is an abundant number, since it is smaller than the sum of its proper divisors (1866661704).

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

828681336 is a wasteful number, since it uses less digits than its factorization.

828681336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7634 (or 7620 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 828681336 is about 28786.8257367845. The cubic root of 828681336 is about 939.2816814935.

The spelling of 828681336 in words is "eight hundred twenty-eight million, six hundred eighty-one thousand, three hundred thirty-six".