32728240 has 40 divisors (see below), whose sum is σ = 78722640. Its totient is φ = 12638976.

The previous prime is 32728229. The next prime is 32728243. The reversal of 32728240 is 4282723.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×32728240² = 2142275386995200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32728199 and 32728208.

It is not an unprimeable number, because it can be changed into a prime (32728243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4734 + ... + 9373.

It is an arithmetic number, because the mean of its divisors is an integer number (1968066).

Almost surely, 2^32728240 is an apocalyptic number.

It is an amenable number.

32728240 is an abundant number, since it is smaller than the sum of its proper divisors (45994400).

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

32728240 is a wasteful number, since it uses less digits than its factorization.

32728240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14149 (or 14143 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 32728240 is about 5720.8600751985. The cubic root of 32728240 is about 319.8705205333.

The spelling of 32728240 in words is "thirty-two million, seven hundred twenty-eight thousand, two hundred forty".