828217023616 has 256 divisors, whose sum is σ = 1879730582400. Its totient is φ = 361122693120.

The previous prime is 828217023587. The next prime is 828217023629. The reversal of 828217023616 is 616320712828.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496830015 + ... + 496831681.

Almost surely, 2^828217023616 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 828217023616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939865291200).

828217023616 is an abundant number, since it is smaller than the sum of its proper divisors (1051513558784).

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

828217023616 is a wasteful number, since it uses less digits than its factorization.

828217023616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 828217023616 in words is "eight hundred twenty-eight billion, two hundred seventeen million, twenty-three thousand, six hundred sixteen".