965828568 has 64 divisors (see below), whose sum is σ = 2477376000. Its totient is φ = 313633152.

The previous prime is 965828543. The next prime is 965828569. The reversal of 965828568 is 865828569.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965828569) 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 15 ways as a sum of consecutive naturals, for example, 256443 + ... + 260181.

It is an arithmetic number, because the mean of its divisors is an integer number (38709000).

Almost surely, 2^965828568 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 965828568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238688000).

965828568 is an abundant number, since it is smaller than the sum of its proper divisors (1511547432).

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

965828568 is a wasteful number, since it uses less digits than its factorization.

965828568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 4020 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 57.

The square root of 965828568 is about 31077.7825463787. The cubic root of 965828568 is about 988.4772590801.

Subtracting from 965828568 its reverse (865828569), we obtain a palindrome (99999999).

It can be divided in two parts, 9658 and 28568, that added together give a triangular number (38226 = T₂₇₆).

The spelling of 965828568 in words is "nine hundred sixty-five million, eight hundred twenty-eight thousand, five hundred sixty-eight".