32488128 has 84 divisors (see below), whose sum is σ = 96616520. Its totient is φ = 10824192.

The previous prime is 32488087. The next prime is 32488199. The reversal of 32488128 is 82188423.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 32488092 and 32488101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14508 + ... + 16596.

Almost surely, 2^32488128 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 32488128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48308260).

32488128 is an abundant number, since it is smaller than the sum of its proper divisors (64128392).

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

32488128 is an equidigital number, since it uses as much as digits as its factorization.

32488128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2094 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 32488128 is about 5699.8357871083. The cubic root of 32488128 is about 319.0863522151.

The spelling of 32488128 in words is "thirty-two million, four hundred eighty-eight thousand, one hundred twenty-eight".