32728095 has 48 divisors (see below), whose sum is σ = 60652800. Its totient is φ = 16289280.

The previous prime is 32728079. The next prime is 32728109. The reversal of 32728095 is 59082723.

It is a happy number.

32728095 is a nontrivial binomial coefficient, being equal to C(8091, 2).

It is not a de Polignac number, because 32728095 - 2⁴ = 32728079 is a prime.

It is a super-2 number, since 2×32728095² = 2142256404658050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40051 + ... + 40859.

It is an arithmetic number, because the mean of its divisors is an integer number (1263600).

Almost surely, 2^32728095 is an apocalyptic number.

32728095 is the 8090-th triangular number.

32728095 is a deficient number, since it is larger than the sum of its proper divisors (27924705).

32728095 is a wasteful number, since it uses less digits than its factorization.

32728095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 32728095 is about 5720.8474022648. The cubic root of 32728095 is about 319.8700481452.

The spelling of 32728095 in words is "thirty-two million, seven hundred twenty-eight thousand, ninety-five".