32048000 has 64 divisors (see below), whose sum is σ = 79719120. Its totient is φ = 12812800.

The previous prime is 32047991. The next prime is 32048011. The reversal of 32048000 is 84023.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 32048000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14999 + ... + 17001.

Almost surely, 2^32048000 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 32048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39859560).

32048000 is an abundant number, since it is smaller than the sum of its proper divisors (47671120).

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

32048000 is an equidigital number, since it uses as much as digits as its factorization.

32048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 32048000 is about 5661.0953003814. The cubic root of 32048000 is about 317.6388711949.

The spelling of 32048000 in words is "thirty-two million, forty-eight thousand".