167428132992 has 96 divisors (see below), whose sum is σ = 481925524080. Its totient is φ = 55793899008.

The previous prime is 167428132979. The next prime is 167428132999. The reversal of 167428132992 is 299231824761.

167428132992 is a `hidden beast` number, since 1 + 6 + 74 + 281 + 3 + 299 + 2 = 666.

167428132992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (167428132999) 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 11 ways as a sum of consecutive naturals, for example, 4593303 + ... + 4629609.

Almost surely, 2^167428132992 is an apocalyptic number.

167428132992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

167428132992 is an abundant number, since it is smaller than the sum of its proper divisors (314497391088).

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

167428132992 is a wasteful number, since it uses less digits than its factorization.

167428132992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40330 (or 40315 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 167428132992 in words is "one hundred sixty-seven billion, four hundred twenty-eight million, one hundred thirty-two thousand, nine hundred ninety-two".