167828430168 has 384 divisors, whose sum is σ = 585381888000. Its totient is φ = 43959749760.

The previous prime is 167828430151. The next prime is 167828430169. The reversal of 167828430168 is 861034828761.

167828430168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167828430169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8004643 + ... + 8025581.

It is an arithmetic number, because the mean of its divisors is an integer number (1524432000).

Almost surely, 2^167828430168 is an apocalyptic number.

167828430168 is a gapful number since it is divisible by the number (18) 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 167828430168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292690944000).

167828430168 is an abundant number, since it is smaller than the sum of its proper divisors (417553457832).

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

167828430168 is a wasteful number, since it uses less digits than its factorization.

167828430168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21017 (or 21001 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 167828430168 in words is "one hundred sixty-seven billion, eight hundred twenty-eight million, four hundred thirty thousand, one hundred sixty-eight".