32448 has 42 divisors (see below), whose sum is σ = 92964. Its totient is φ = 9984.

The previous prime is 32443. The next prime is 32467. The reversal of 32448 is 84423.

It is a happy number.

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

It is an Ulam number.

It is a nialpdrome in base 8 and base 15.

It is a zygodrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32448.

It is not an unprimeable number, because it can be changed into a prime (32441) by changing a digit.

32448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2490 + ... + 2502.

2³²⁴⁴⁸ 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 32448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46482).

32448 is an abundant number, since it is smaller than the sum of its proper divisors (60516).

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

32448 is a wasteful number, since it uses less digits than its factorization.

32448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 18 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 32448 is about 180.1332839872. The cubic root of 32448 is about 31.8954923974.

Multiplying 32448 by its product of digits (768), we get a square (24920064 = 4992²).

It can be divided in two parts, 3244 and 8, that multiplied together give a palindrome (25952).

The spelling of 32448 in words is "thirty-two thousand, four hundred forty-eight".