32728096 has 24 divisors (see below), whose sum is σ = 64595664. Its totient is φ = 16322880.

The previous prime is 32728079. The next prime is 32728109. The reversal of 32728096 is 69082723.

It is a super-2 number, since 2×32728096² = 2142256535570432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a pancake number, because a pancake can be divided into 32728096 parts by 8090 straight cuts.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 14671 + ... + 16753.

It is an arithmetic number, because the mean of its divisors is an integer number (2691486).

Almost surely, 2^32728096 is an apocalyptic number.

It is an amenable number.

32728096 is a deficient number, since it is larger than the sum of its proper divisors (31867568).

32728096 is a wasteful number, since it uses less digits than its factorization.

32728096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 32728096 is about 5720.8474896644. The cubic root of 32728096 is about 319.8700514031.

The spelling of 32728096 in words is "thirty-two million, seven hundred twenty-eight thousand, ninety-six".