32002048 has 52 divisors (see below), whose sum is σ = 69033748. Its totient is φ = 14745600.

The previous prime is 32002037. The next prime is 32002049. The reversal of 32002048 is 84020023.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15745024 + 16257024 = 3968^2 + 4032^2 .

It is a tau number, because it is divible by the number of its divisors (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32002049) 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 3 ways as a sum of consecutive naturals, for example, 52948 + ... + 53548.

Almost surely, 2^32002048 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 32002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34516874).

32002048 is an abundant number, since it is smaller than the sum of its proper divisors (37031700).

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

32002048 is an equidigital number, since it uses as much as digits as its factorization.

32002048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 32002048 is about 5657.0352659321. The cubic root of 32002048 is about 317.4869831603.

It can be divided in two parts, 3200 and 2048, that multiplied together give a square (6553600 = 2560²).

The spelling of 32002048 in words is "thirty-two million, two thousand, forty-eight".