32728032 has 72 divisors (see below), whose sum is σ = 97985160. Its totient is φ = 10333440.

The previous prime is 32728021. The next prime is 32728039. The reversal of 32728032 is 23082723.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×32728032² = 2142248157186048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32727987 and 32728005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32728039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2482 + ... + 8462.

It is an arithmetic number, because the mean of its divisors is an integer number (1360905).

Almost surely, 2^32728032 is an apocalyptic number.

32728032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32728032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48992580).

32728032 is an abundant number, since it is smaller than the sum of its proper divisors (65257128).

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

32728032 is a wasteful number, since it uses less digits than its factorization.

32728032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6016 (or 6005 counting only the distinct ones).

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

The square root of 32728032 is about 5720.8418960849. The cubic root of 32728032 is about 319.8698429003.

The spelling of 32728032 in words is "thirty-two million, seven hundred twenty-eight thousand, thirty-two".