32128164 has 120 divisors (see below), whose sum is σ = 93915360. Its totient is φ = 9517824.

The previous prime is 32128163. The next prime is 32128169. The reversal of 32128164 is 46182123.

32128164 is a `hidden beast` number, since 321 + 281 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (32128163) 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 39 ways as a sum of consecutive naturals, for example, 104499 + ... + 104805.

It is an arithmetic number, because the mean of its divisors is an integer number (782628).

Almost surely, 2^32128164 is an apocalyptic number.

32128164 is a gapful number since it is divisible by the number (34) 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 32128164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46957680).

32128164 is an abundant number, since it is smaller than the sum of its proper divisors (61787196).

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

32128164 is a wasteful number, since it uses less digits than its factorization.

32128164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 348 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 32128164 is about 5668.1711336197. The cubic root of 32128164 is about 317.9034951021.

The spelling of 32128164 in words is "thirty-two million, one hundred twenty-eight thousand, one hundred sixty-four".