32728140 has 72 divisors (see below), whose sum is σ = 99944208. Its totient is φ = 8668800.

The previous prime is 32728133. The next prime is 32728151. The reversal of 32728140 is 4182723.

It is a super-2 number, since 2×32728140² = 2142262295719200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 30615 + ... + 31665.

It is an arithmetic number, because the mean of its divisors is an integer number (1388114).

Almost surely, 2^32728140 is an apocalyptic number.

32728140 is a gapful number since it is divisible by the number (30) 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 32728140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49972104).

32728140 is an abundant number, since it is smaller than the sum of its proper divisors (67216068).

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

32728140 is a wasteful number, since it uses less digits than its factorization.

32728140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 32728140 is about 5720.8513352472. The cubic root of 32728140 is about 319.8701947486.

Multiplying 32728140 by its sum of digits (27), we get a triangular number (883659780 = T₄₂₀₃₉).

The spelling of 32728140 in words is "thirty-two million, seven hundred twenty-eight thousand, one hundred forty".