828877322329 has 27 divisors (see below), whose sum is σ = 976584332277. Its totient is φ = 701458511544.

The previous prime is 828877322311. The next prime is 828877322347. The reversal of 828877322329 is 923223778828.

The square root of 828877322329 is 910427.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (828877322311) and next prime (828877322347).

It is not a de Polignac number, because 828877322329 - 2¹¹ = 828877320281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (828877322629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 528957304 + ... + 528958870.

Almost surely, 2^828877322329 is an apocalyptic number.

828877322329 is the 910427-th square number.

828877322329 is the 455214-th centered octagonal number.

It is an amenable number.

828877322329 is a deficient number, since it is larger than the sum of its proper divisors (147707009948).

828877322329 is an frugal number, since it uses more digits than its factorization.

828877322329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314 (or 1657 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 61.

The spelling of 828877322329 in words is "eight hundred twenty-eight billion, eight hundred seventy-seven million, three hundred twenty-two thousand, three hundred twenty-nine".