167266728 has 128 divisors (see below), whose sum is σ = 498960000. Its totient is φ = 51757056.

The previous prime is 167266717. The next prime is 167266733. The reversal of 167266728 is 827662761.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 217128 + ... + 217896.

It is an arithmetic number, because the mean of its divisors is an integer number (3898125).

Almost surely, 2^167266728 is an apocalyptic number.

167266728 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 167266728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249480000).

167266728 is an abundant number, since it is smaller than the sum of its proper divisors (331693272).

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

167266728 is a wasteful number, since it uses less digits than its factorization.

167266728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 846 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 167266728 is about 12933.1638820514. The cubic root of 167266728 is about 550.9808700620.

The spelling of 167266728 in words is "one hundred sixty-seven million, two hundred sixty-six thousand, seven hundred twenty-eight".