167928488000 has 672 divisors, whose sum is σ = 538298062848. Its totient is φ = 51383808000.

The previous prime is 167928487973. The next prime is 167928488003. The reversal of 167928488000 is 884829761.

It is a happy number.

It is a super-2 number, since 2×167928488000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (167928488003) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 157975469 + ... + 157976531.

It is an arithmetic number, because the mean of its divisors is an integer number (801038784).

Almost surely, 2^167928488000 is an apocalyptic number.

167928488000 is a gapful number since it is divisible by the number (10) 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 167928488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269149031424).

167928488000 is an abundant number, since it is smaller than the sum of its proper divisors (370369574848).

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

167928488000 is a wasteful number, since it uses less digits than its factorization.

167928488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 53.

The spelling of 167928488000 in words is "one hundred sixty-seven billion, nine hundred twenty-eight million, four hundred eighty-eight thousand".