167085828 has 144 divisors (see below), whose sum is σ = 539360640. Its totient is φ = 44043264.

The previous prime is 167085811. The next prime is 167085833. The reversal of 167085828 is 828580761.

167085828 is a `hidden beast` number, since 1 + 67 + 0 + 8 + 582 + 8 = 666.

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 47 ways as a sum of consecutive naturals, for example, 87508 + ... + 89396.

It is an arithmetic number, because the mean of its divisors is an integer number (3745560).

Almost surely, 2^167085828 is an apocalyptic number.

167085828 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 167085828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269680320).

167085828 is an abundant number, since it is smaller than the sum of its proper divisors (372274812).

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

167085828 is a wasteful number, since it uses less digits than its factorization.

167085828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 167085828 is about 12926.1683417786. The cubic root of 167085828 is about 550.7821686739.

The spelling of 167085828 in words is "one hundred sixty-seven million, eighty-five thousand, eight hundred twenty-eight".