32048128 has 88 divisors (see below), whose sum is σ = 77818752. Its totient is φ = 12877824.

The previous prime is 32048123. The next prime is 32048153. The reversal of 32048128 is 82184023.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 32048096 and 32048105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32048123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121725 + ... + 121987.

It is an arithmetic number, because the mean of its divisors is an integer number (884304).

Almost surely, 2^32048128 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 32048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38909376).

32048128 is an abundant number, since it is smaller than the sum of its proper divisors (45770624).

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

32048128 is a wasteful number, since it uses less digits than its factorization.

32048128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 32048128 is about 5661.1066056028. The cubic root of 32048128 is about 317.6392940785.

The spelling of 32048128 in words is "thirty-two million, forty-eight thousand, one hundred twenty-eight".