32728752 has 160 divisors (see below), whose sum is σ = 109516800. Its totient is φ = 9165312.

The previous prime is 32728739. The next prime is 32728753. The reversal of 32728752 is 25782723.

It is a happy number.

32728752 is a `hidden beast` number, since 327 + 287 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (47040) is a multiple of the sum of its prime factors (240).

It is not an unprimeable number, because it can be changed into a prime (32728753) 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, 238828 + ... + 238964.

It is an arithmetic number, because the mean of its divisors is an integer number (684480).

Almost surely, 2^32728752 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 32728752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54758400).

32728752 is an abundant number, since it is smaller than the sum of its proper divisors (76788048).

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

32728752 is a wasteful number, since it uses less digits than its factorization.

32728752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 32728752 is about 5720.9048235397. The cubic root of 32728752 is about 319.8721885409.

The spelling of 32728752 in words is "thirty-two million, seven hundred twenty-eight thousand, seven hundred fifty-two".