32838048 has 144 divisors (see below), whose sum is σ = 100166976. Its totient is φ = 10575360.

The previous prime is 32838019. The next prime is 32838049. The reversal of 32838048 is 84083823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (32838049) 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 23 ways as a sum of consecutive naturals, for example, 318765 + ... + 318867.

It is an arithmetic number, because the mean of its divisors is an integer number (695604).

Almost surely, 2^32838048 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 32838048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50083488).

32838048 is an abundant number, since it is smaller than the sum of its proper divisors (67328928).

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

32838048 is a wasteful number, since it uses less digits than its factorization.

32838048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 32838048 is about 5730.4491970525. The cubic root of 32838048 is about 320.2278585463.

The spelling of 32838048 in words is "thirty-two million, eight hundred thirty-eight thousand, forty-eight".