828603022464 has 640 divisors, whose sum is σ = 3042293126400. Its totient is φ = 218629103616.

The previous prime is 828603022463. The next prime is 828603022469. The reversal of 828603022464 is 464220306828.

828603022464 is a `hidden beast` number, since 8 + 286 + 0 + 302 + 2 + 4 + 64 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (828603022463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48399634 + ... + 48416750.

It is an arithmetic number, because the mean of its divisors is an integer number (4753583010).

Almost surely, 2^828603022464 is an apocalyptic number.

828603022464 is a gapful number since it is divisible by the number (84) 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 828603022464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521146563200).

828603022464 is an abundant number, since it is smaller than the sum of its proper divisors (2213690103936).

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

828603022464 is a wasteful number, since it uses less digits than its factorization.

828603022464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17202 (or 17181 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 828603022464 in words is "eight hundred twenty-eight billion, six hundred three million, twenty-two thousand, four hundred sixty-four".