873828248832 has 2016 divisors, whose sum is σ = 3570972652800. Its totient is φ = 210691031040.

The previous prime is 873828248831. The next prime is 873828248861. The reversal of 873828248832 is 238842828378.

873828248832 is a `hidden beast` number, since 8 + 7 + 382 + 8 + 248 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 873828248832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873828248831) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 11970249948 + ... + 11970250020.

It is an arithmetic number, because the mean of its divisors is an integer number (1771315800).

Almost surely, 2^873828248832 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 873828248832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785486326400).

873828248832 is an abundant number, since it is smaller than the sum of its proper divisors (2697144403968).

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

873828248832 is an equidigital number, since it uses as much as digits as its factorization.

873828248832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 113 counting only the distinct ones).

The product of its digits is 66060288, while the sum is 63.

The spelling of 873828248832 in words is "eight hundred seventy-three billion, eight hundred twenty-eight million, two hundred forty-eight thousand, eight hundred thirty-two".