828616942608 has 960 divisors, whose sum is σ = 2915787663360. Its totient is φ = 197815468032.

The previous prime is 828616942567. The next prime is 828616942631. The reversal of 828616942608 is 806249616828.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2458803816 + ... + 2458804152.

It is an arithmetic number, because the mean of its divisors is an integer number (3037278816).

Almost surely, 2^828616942608 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 828616942608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457893831680).

828616942608 is an abundant number, since it is smaller than the sum of its proper divisors (2087170720752).

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

828616942608 is a wasteful number, since it uses less digits than its factorization.

828616942608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 828616942608 in words is "eight hundred twenty-eight billion, six hundred sixteen million, nine hundred forty-two thousand, six hundred eight".