828941568 has 288 divisors, whose sum is σ = 2815814400. Its totient is φ = 210567168.

The previous prime is 828941489. The next prime is 828941569. The reversal of 828941568 is 865149828.

It is a self number, because there is not a number n which added to its sum of digits gives 828941568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828941569) 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, 2026548 + ... + 2026956.

Almost surely, 2^828941568 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 828941568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407907200).

828941568 is an abundant number, since it is smaller than the sum of its proper divisors (1986872832).

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

828941568 is a wasteful number, since it uses less digits than its factorization.

828941568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 463 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 51.

The square root of 828941568 is about 28791.3453662728. The cubic root of 828941568 is about 939.3799925321.

The spelling of 828941568 in words is "eight hundred twenty-eight million, nine hundred forty-one thousand, five hundred sixty-eight".