828752344 has 128 divisors (see below), whose sum is σ = 1899878400. Its totient is φ = 331568640.

The previous prime is 828752321. The next prime is 828752347. The reversal of 828752344 is 443257828.

It is a self number, because there is not a number n which added to its sum of digits gives 828752344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828752347) 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, 9984927 + ... + 9985009.

It is an arithmetic number, because the mean of its divisors is an integer number (14842800).

Almost surely, 2^828752344 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 828752344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949939200).

828752344 is an abundant number, since it is smaller than the sum of its proper divisors (1071126056).

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

828752344 is a wasteful number, since it uses less digits than its factorization.

828752344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its digits is 430080, while the sum is 43.

The square root of 828752344 is about 28788.0590523224. The cubic root of 828752344 is about 939.3085090993.

The spelling of 828752344 in words is "eight hundred twenty-eight million, seven hundred fifty-two thousand, three hundred forty-four".