828603756 has 72 divisors (see below), whose sum is σ = 2286473280. Its totient is φ = 261658512.

The previous prime is 828603719. The next prime is 828603757. The reversal of 828603756 is 657306828.

It is not an unprimeable number, because it can be changed into a prime (828603757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3966 + ... + 40901.

Almost surely, 2^828603756 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 828603756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143236640).

828603756 is an abundant number, since it is smaller than the sum of its proper divisors (1457869524).

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

828603756 is a wasteful number, since it uses less digits than its factorization.

828603756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44905 (or 44891 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 828603756 is about 28785.4782138494. The cubic root of 828603756 is about 939.2523691616.

The spelling of 828603756 in words is "eight hundred twenty-eight million, six hundred three thousand, seven hundred fifty-six".