32480728 has 80 divisors (see below), whose sum is σ = 75627000. Its totient is φ = 13039488.

The previous prime is 32480717. The next prime is 32480737. The reversal of 32480728 is 82708423.

It is a junction number, because it is equal to n+sod(n) for n = 32480693 and 32480702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 364908 + ... + 364996.

Almost surely, 2^32480728 is an apocalyptic number.

32480728 is a gapful number since it is divisible by the number (38) 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 32480728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37813500).

32480728 is an abundant number, since it is smaller than the sum of its proper divisors (43146272).

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

32480728 is an equidigital number, since it uses as much as digits as its factorization.

32480728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 32480728 is about 5699.1866086311. The cubic root of 32480728 is about 319.0621236897.

The spelling of 32480728 in words is "thirty-two million, four hundred eighty thousand, seven hundred twenty-eight".