32673728 has 56 divisors (see below), whose sum is σ = 69951600. Its totient is φ = 15085568.

The previous prime is 32673713. The next prime is 32673733. The reversal of 32673728 is 82737623.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 32673691 and 32673700.

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 7 ways as a sum of consecutive naturals, for example, 63938 + ... + 64446.

Almost surely, 2^32673728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32673728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34975800).

32673728 is an abundant number, since it is smaller than the sum of its proper divisors (37277872).

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

32673728 is a wasteful number, since it uses less digits than its factorization.

32673728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 587 counting only the distinct ones).

The product of its digits is 84672, while the sum is 38.

The square root of 32673728 is about 5716.0937710993. The cubic root of 32673728 is about 319.6928302404.

The spelling of 32673728 in words is "thirty-two million, six hundred seventy-three thousand, seven hundred twenty-eight".