32023728 has 160 divisors (see below), whose sum is σ = 104993280. Its totient is φ = 9250560.

The previous prime is 32023723. The next prime is 32023741. The reversal of 32023728 is 82732023.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (32023723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109150 + ... + 109442.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 2^32023728 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 32023728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

32023728 is an abundant number, since it is smaller than the sum of its proper divisors (72969552).

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

32023728 is a wasteful number, since it uses less digits than its factorization.

32023728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 32023728 is about 5658.9511395664. The cubic root of 32023728 is about 317.5586615317.

The spelling of 32023728 in words is "thirty-two million, twenty-three thousand, seven hundred twenty-eight".