32478768 has 90 divisors (see below), whose sum is σ = 105758484. Its totient is φ = 9277632.

The previous prime is 32478767. The next prime is 32478773. The reversal of 32478768 is 86787423.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (32478767) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4755 + ... + 9357.

Almost surely, 2^32478768 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 32478768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52879242).

32478768 is an abundant number, since it is smaller than the sum of its proper divisors (73279716).

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

32478768 is a wasteful number, since it uses less digits than its factorization.

32478768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4631 (or 4615 counting only the distinct ones).

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

The square root of 32478768 is about 5699.0146516744. The cubic root of 32478768 is about 319.0557057882.

The spelling of 32478768 in words is "thirty-two million, four hundred seventy-eight thousand, seven hundred sixty-eight".