828100918554 has 96 divisors (see below), whose sum is σ = 2082295224576. Its totient is φ = 217611515520.

The previous prime is 828100918501. The next prime is 828100918573. The reversal of 828100918554 is 455819001828.

It is a super-2 number, since 2×828100918554² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 828100918497 and 828100918506.

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 47 ways as a sum of consecutive naturals, for example, 667599 + ... + 1449789.

It is an arithmetic number, because the mean of its divisors is an integer number (21690575256).

Almost surely, 2^828100918554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828100918554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041147612288).

828100918554 is an abundant number, since it is smaller than the sum of its proper divisors (1254194306022).

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

828100918554 is a wasteful number, since it uses less digits than its factorization.

828100918554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782500 (or 782493 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 51.

The spelling of 828100918554 in words is "eight hundred twenty-eight billion, one hundred million, nine hundred eighteen thousand, five hundred fifty-four".