828360974905464 has 2048 divisors, whose sum is σ = 3070604397772800. Its totient is φ = 179123954688000.

The previous prime is 828360974905403. The next prime is 828360974905469. The reversal of 828360974905464 is 464509479063828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828360974905469) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 830853535014 + ... + 830853536010.

It is an arithmetic number, because the mean of its divisors is an integer number (1499318553600).

Almost surely, 2^{828360974905464} is an apocalyptic number.

828360974905464 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 828360974905464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535302198886400).

828360974905464 is an abundant number, since it is smaller than the sum of its proper divisors (2242243422867336).

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

828360974905464 is a wasteful number, since it uses less digits than its factorization.

828360974905464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 75.

The spelling of 828360974905464 in words is "eight hundred twenty-eight trillion, three hundred sixty billion, nine hundred seventy-four million, nine hundred five thousand, four hundred sixty-four".