828152089600 has 264 divisors, whose sum is σ = 2371178935728. Its totient is φ = 283430092800.

The previous prime is 828152089591. The next prime is 828152089601. The reversal of 828152089600 is 6980251828.

It is not an unprimeable number, because it can be changed into a prime (828152089601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4700704 + ... + 4873696.

Almost surely, 2^828152089600 is an apocalyptic number.

828152089600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828152089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185589467864).

828152089600 is an abundant number, since it is smaller than the sum of its proper divisors (1543026846128).

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

828152089600 is a wasteful number, since it uses less digits than its factorization.

828152089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173051 (or 173028 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

The spelling of 828152089600 in words is "eight hundred twenty-eight billion, one hundred fifty-two million, eighty-nine thousand, six hundred".