32748768 has 72 divisors (see below), whose sum is σ = 100304568. Its totient is φ = 10075392.

The previous prime is 32748763. The next prime is 32748769. The reversal of 32748768 is 86784723.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32748763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 630 + ... + 8117.

It is an arithmetic number, because the mean of its divisors is an integer number (1393119).

Almost surely, 2^32748768 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 32748768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50152284).

32748768 is an abundant number, since it is smaller than the sum of its proper divisors (67555800).

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

32748768 is a wasteful number, since it uses less digits than its factorization.

32748768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8776 (or 8765 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 32748768 is about 5722.6539297777. The cubic root of 32748768 is about 319.9373835816.

The spelling of 32748768 in words is "thirty-two million, seven hundred forty-eight thousand, seven hundred sixty-eight".