823765567328 has 48 divisors (see below), whose sum is σ = 1769338604880. Its totient is φ = 374414592000.

The previous prime is 823765567319. The next prime is 823765567363.

823765567328 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6057908 + ... + 6192396.

It is an arithmetic number, because the mean of its divisors is an integer number (36861220935).

Almost surely, 2^823765567328 is an apocalyptic number.

823765567328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

823765567328 is an abundant number, since it is smaller than the sum of its proper divisors (945573037552).

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

823765567328 is a wasteful number, since it uses less digits than its factorization.

823765567328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151911 (or 151903 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 62.

The spelling of 823765567328 in words is "eight hundred twenty-three billion, seven hundred sixty-five million, five hundred sixty-seven thousand, three hundred twenty-eight".