162875328 has 224 divisors, whose sum is σ = 561807360. Its totient is φ = 40381440.

The previous prime is 162875311. The next prime is 162875347. The reversal of 162875328 is 823578261.

162875328 is digitally balanced in base 3, 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 (224).

It is a super-2 number, since 2×162875328² = 53056744942215168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 162875328.

It is a congruent number.

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, 339793 + ... + 340271.

Almost surely, 2^162875328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162875328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280903680).

162875328 is an abundant number, since it is smaller than the sum of its proper divisors (398932032).

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

162875328 is a wasteful number, since it uses less digits than its factorization.

162875328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 525 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 162875328 is about 12762.2618684934. The cubic root of 162875328 is about 546.1162521318.

The spelling of 162875328 in words is "one hundred sixty-two million, eight hundred seventy-five thousand, three hundred twenty-eight".