828845605952 has 336 divisors, whose sum is σ = 2089057259520. Its totient is φ = 323373109248.

The previous prime is 828845605933. The next prime is 828845606027. The reversal of 828845605952 is 259506548828.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1701941453 + ... + 1701941939.

It is an arithmetic number, because the mean of its divisors is an integer number (6217432320).

Almost surely, 2^828845605952 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 828845605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044528629760).

828845605952 is an abundant number, since it is smaller than the sum of its proper divisors (1260211653568).

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

828845605952 is a wasteful number, since it uses less digits than its factorization.

828845605952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 62.

The spelling of 828845605952 in words is "eight hundred twenty-eight billion, eight hundred forty-five million, six hundred five thousand, nine hundred fifty-two".