828563906239488 has 924 divisors, whose sum is σ = 2603078078343288. Its totient is φ = 263434855219200.

The previous prime is 828563906239457. The next prime is 828563906239549. The reversal of 828563906239488 is 884932609365828.

828563906239488 is a `hidden beast` number, since 8 + 2 + 8 + 5 + 6 + 3 + 90 + 62 + 394 + 88 = 666.

It is a super-5 number, since 5×828563906239488⁵ (a number of 76 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 52107652338 + ... + 52107668238.

Almost surely, 2^{828563906239488} 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 828563906239488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301539039171644).

828563906239488 is an abundant number, since it is smaller than the sum of its proper divisors (1774514172103800).

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

828563906239488 is an equidigital number, since it uses as much as digits as its factorization.

828563906239488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16080 (or 16018 counting only the distinct ones).

The product of its (nonzero) digits is 8599633920, while the sum is 81.

The spelling of 828563906239488 in words is "eight hundred twenty-eight trillion, five hundred sixty-three billion, nine hundred six million, two hundred thirty-nine thousand, four hundred eighty-eight".