32280768 has 140 divisors (see below), whose sum is σ = 103266240. Its totient is φ = 9911808.

The previous prime is 32280767. The next prime is 32280779. The reversal of 32280768 is 86708223.

It is a happy number.

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 (32280767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67153 + ... + 67631.

It is an arithmetic number, because the mean of its divisors is an integer number (737616).

Almost surely, 2^32280768 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 32280768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51633120).

32280768 is an abundant number, since it is smaller than the sum of its proper divisors (70985472).

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

32280768 is a wasteful number, since it uses less digits than its factorization.

32280768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 32280768 is about 5681.6166713357. The cubic root of 32280768 is about 318.4060317199.

The spelling of 32280768 in words is "thirty-two million, two hundred eighty thousand, seven hundred sixty-eight".