828386208 has 144 divisors (see below), whose sum is σ = 2564210376. Its totient is φ = 252149760.

The previous prime is 828386197. The next prime is 828386213. The reversal of 828386208 is 802683828.

It can be written as a sum of positive squares in 4 ways, for example, as 592825104 + 235561104 = 24348^2 + 15348^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 362028 + ... + 364308.

Almost surely, 2^828386208 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 828386208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282105188).

828386208 is an abundant number, since it is smaller than the sum of its proper divisors (1735824168).

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

828386208 is a wasteful number, since it uses less digits than its factorization.

828386208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 828386208 is about 28781.6991854199. The cubic root of 828386208 is about 939.1701624543.

The spelling of 828386208 in words is "eight hundred twenty-eight million, three hundred eighty-six thousand, two hundred eight".