864828828468 has 72 divisors (see below), whose sum is σ = 2408443311456. Its totient is φ = 259474584000.

The previous prime is 864828828463. The next prime is 864828828541.

It is a happy number.

864828828468 is a `hidden beast` number, since 8 + 6 + 4 + 8 + 288 + 284 + 68 = 666.

864828828468 is nontrivially palindromic in base 10.

864828828468 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 864828828396 and 864828828405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864828828463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10771446 + ... + 10851437.

It is an arithmetic number, because the mean of its divisors is an integer number (33450601548).

Almost surely, 2^864828828468 is an apocalyptic number.

It is an amenable number.

864828828468 is an abundant number, since it is smaller than the sum of its proper divisors (1543614482988).

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

864828828468 is a wasteful number, since it uses less digits than its factorization.

864828828468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21623005 (or 21623000 counting only the distinct ones).

The product of its digits is 603979776, while the sum is 72.

The spelling of 864828828468 in words is "eight hundred sixty-four billion, eight hundred twenty-eight million, eight hundred twenty-eight thousand, four hundred sixty-eight".