162828266832 has 240 divisors, whose sum is σ = 574523763840. Its totient is φ = 41817600000.

The previous prime is 162828266807. The next prime is 162828266879. The reversal of 162828266832 is 238662828261.

It is a happy number.

162828266832 is a `hidden beast` number, since 1 + 628 + 2 + 8 + 2 + 6 + 6 + 8 + 3 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 904332 + ... + 1069332.

It is an arithmetic number, because the mean of its divisors is an integer number (2393849016).

Almost surely, 2^162828266832 is an apocalyptic number.

162828266832 is a gapful number since it is divisible by the number (12) 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 162828266832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287261881920).

162828266832 is an abundant number, since it is smaller than the sum of its proper divisors (411695497008).

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

162828266832 is a wasteful number, since it uses less digits than its factorization.

162828266832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165122 (or 165113 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 162828266832 in words is "one hundred sixty-two billion, eight hundred twenty-eight million, two hundred sixty-six thousand, eight hundred thirty-two".