832437228000 has 768 divisors, whose sum is σ = 3270204887040. Its totient is φ = 181085184000.

The previous prime is 832437227989. The next prime is 832437228023. The reversal of 832437228000 is 822734238.

It is a self number, because there is not a number n which added to its sum of digits gives 832437228000.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 172953594 + ... + 172958406.

It is an arithmetic number, because the mean of its divisors is an integer number (4258079280).

Almost surely, 2^832437228000 is an apocalyptic number.

832437228000 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 832437228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635102443520).

832437228000 is an abundant number, since it is smaller than the sum of its proper divisors (2437767659040).

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

832437228000 is a wasteful number, since it uses less digits than its factorization.

832437228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4948 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 832437228000 in words is "eight hundred thirty-two billion, four hundred thirty-seven million, two hundred twenty-eight thousand".