32428760 has 128 divisors (see below), whose sum is σ = 91929600. Its totient is φ = 10022400.

The previous prime is 32428733. The next prime is 32428769. The reversal of 32428760 is 6782423.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32428769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214685 + ... + 214835.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 2^32428760 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 32428760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45964800).

32428760 is an abundant number, since it is smaller than the sum of its proper divisors (59500840).

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

32428760 is a wasteful number, since it uses less digits than its factorization.

32428760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 32428760 is about 5694.6255364159. The cubic root of 32428760 is about 318.8918702056.

The spelling of 32428760 in words is "thirty-two million, four hundred twenty-eight thousand, seven hundred sixty".