32116128 has 96 divisors (see below), whose sum is σ = 97433280. Its totient is φ = 9154560.

The previous prime is 32116127. The next prime is 32116129. The reversal of 32116128 is 82161123.

It is an interprime number because it is at equal distance from previous prime (32116127) and next prime (32116129).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 32116098 and 32116107.

It is not an unprimeable number, because it can be changed into a prime (32116127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17058 + ... + 18846.

It is an arithmetic number, because the mean of its divisors is an integer number (1014930).

Almost surely, 2^32116128 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 32116128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48716640).

32116128 is an abundant number, since it is smaller than the sum of its proper divisors (65317152).

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

32116128 is a wasteful number, since it uses less digits than its factorization.

32116128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1822 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 32116128 is about 5667.1093160446. The cubic root of 32116128 is about 317.8637919891.

It can be divided in two parts, 3211 and 6128, that added together give a palindrome (9339).

The spelling of 32116128 in words is "thirty-two million, one hundred sixteen thousand, one hundred twenty-eight".