32428928 has 64 divisors (see below), whose sum is σ = 78213600. Its totient is φ = 13074432.

The previous prime is 32428927. The next prime is 32428939. The reversal of 32428928 is 82982423.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 32428891 and 32428900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32428927) 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, 14168 + ... + 16296.

Almost surely, 2^32428928 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 32428928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39106800).

32428928 is an abundant number, since it is smaller than the sum of its proper divisors (45784672).

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

32428928 is a wasteful number, since it uses less digits than its factorization.

32428928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2155 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 32428928 is about 5694.6402871472. The cubic root of 32428928 is about 318.8924208869.

The spelling of 32428928 in words is "thirty-two million, four hundred twenty-eight thousand, nine hundred twenty-eight".