32848128 has 108 divisors (see below), whose sum is σ = 96854940. Its totient is φ = 10702848.

The previous prime is 32848103. The next prime is 32848133. The reversal of 32848128 is 82184823.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11614464 + 21233664 = 3408^2 + 4608^2 .

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 = 32848092 and 32848101.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 121978 + ... + 122246.

It is an arithmetic number, because the mean of its divisors is an integer number (896805).

Almost surely, 2^32848128 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 32848128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48427470).

32848128 is an abundant number, since it is smaller than the sum of its proper divisors (64006812).

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

32848128 is a wasteful number, since it uses less digits than its factorization.

32848128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 327 counting only the distinct ones).

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

The square root of 32848128 is about 5731.3286417723. The cubic root of 32848128 is about 320.2606210154.

It can be divided in two parts, 328481 and 28, that added together give a cube (328509 = 69³).

The spelling of 32848128 in words is "thirty-two million, eight hundred forty-eight thousand, one hundred twenty-eight".