828481368 has 128 divisors (see below), whose sum is σ = 2444762880. Its totient is φ = 230653440.

The previous prime is 828481289. The next prime is 828481369. The reversal of 828481368 is 863184828.

828481368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828481369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 970830 + ... + 971682.

It is an arithmetic number, because the mean of its divisors is an integer number (19099710).

Almost surely, 2^828481368 is an apocalyptic number.

828481368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828481368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222381440).

828481368 is an abundant number, since it is smaller than the sum of its proper divisors (1616281512).

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

828481368 is a wasteful number, since it uses less digits than its factorization.

828481368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1165 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 828481368 is about 28783.3522717560. The cubic root of 828481368 is about 939.2061231410.

The spelling of 828481368 in words is "eight hundred twenty-eight million, four hundred eighty-one thousand, three hundred sixty-eight".