8223465609828 has 960 divisors, whose sum is σ = 27424911360000. Its totient is φ = 2141065301760.

The previous prime is 8223465609791. The next prime is 8223465609833. The reversal of 8223465609828 is 8289065643228.

8223465609828 is a `hidden beast` number, since 8 + 2 + 2 + 3 + 46 + 560 + 9 + 8 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5308885998 + ... + 5308887546.

It is an arithmetic number, because the mean of its divisors is an integer number (28567616000).

Almost surely, 2^{8223465609828} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8223465609828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13712455680000).

8223465609828 is an abundant number, since it is smaller than the sum of its proper divisors (19201445750172).

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

8223465609828 is a wasteful number, since it uses less digits than its factorization.

8223465609828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 8223465609828 in words is "eight trillion, two hundred twenty-three billion, four hundred sixty-five million, six hundred nine thousand, eight hundred twenty-eight".