167000328 has 144 divisors (see below), whose sum is σ = 515069100. Its totient is φ = 48787200.

The previous prime is 167000321. The next prime is 167000363. The reversal of 167000328 is 823000761.

It can be written as a sum of positive squares in 2 ways, for example, as 162256644 + 4743684 = 12738^2 + 2178^2 .

It is not an unprimeable number, because it can be changed into a prime (167000321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 252318 + ... + 252978.

Almost surely, 2^167000328 is an apocalyptic number.

167000328 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 167000328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257534550).

167000328 is an abundant number, since it is smaller than the sum of its proper divisors (348068772).

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

167000328 is a wasteful number, since it uses less digits than its factorization.

167000328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 167000328 is about 12922.8606740149. The cubic root of 167000328 is about 550.6882051687.

The spelling of 167000328 in words is "one hundred sixty-seven million, three hundred twenty-eight", and thus it is an aban number.