823100001328 has 160 divisors (see below), whose sum is σ = 1802146655232. Its totient is φ = 360944640000.

The previous prime is 823100001323. The next prime is 823100001377.

823100001328 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×823100001328² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 823100001296 and 823100001305.

It is not an unprimeable number, because it can be changed into a prime (823100001323) 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 31 ways as a sum of consecutive naturals, for example, 551305350 + ... + 551306842.

Almost surely, 2^823100001328 is an apocalyptic number.

823100001328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823100001328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901073327616).

823100001328 is an abundant number, since it is smaller than the sum of its proper divisors (979046653904).

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

823100001328 is a wasteful number, since it uses less digits than its factorization.

823100001328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

It can be divided in two parts, 82310000 and 1328, that added together give a palindrome (82311328).

The spelling of 823100001328 in words is "eight hundred twenty-three billion, one hundred million, one thousand, three hundred twenty-eight".