827605328 has 40 divisors (see below), whose sum is σ = 1786492800. Its totient is φ = 368176640.

The previous prime is 827605321. The next prime is 827605349. The reversal of 827605328 is 823506728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827605321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41753 + ... + 58296.

It is an arithmetic number, because the mean of its divisors is an integer number (44662320).

Almost surely, 2^827605328 is an apocalyptic number.

827605328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

827605328 is an abundant number, since it is smaller than the sum of its proper divisors (958887472).

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

827605328 is a wasteful number, since it uses less digits than its factorization.

827605328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100115 (or 100109 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 827605328 is about 28768.1304223962. The cubic root of 827605328 is about 938.8749661032.

It can be divided in two parts, 82760 and 5328, that added together give a palindrome (88088).

The spelling of 827605328 in words is "eight hundred twenty-seven million, six hundred five thousand, three hundred twenty-eight".