828764440 has 96 divisors (see below), whose sum is σ = 2193998400. Its totient is φ = 280896000.

The previous prime is 828764437. The next prime is 828764441. The reversal of 828764440 is 44467828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828764441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172065 + ... + 176815.

It is an arithmetic number, because the mean of its divisors is an integer number (22854150).

Almost surely, 2^828764440 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 828764440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096999200).

828764440 is an abundant number, since it is smaller than the sum of its proper divisors (1365233960).

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

828764440 is a wasteful number, since it uses less digits than its factorization.

828764440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4865 (or 4854 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 43.

The square root of 828764440 is about 28788.2691386613. The cubic root of 828764440 is about 939.3130789488.

It can be divided in two parts, 8287 and 64440, that added together give a palindrome (72727).

The spelling of 828764440 in words is "eight hundred twenty-eight million, seven hundred sixty-four thousand, four hundred forty".