32789628 has 54 divisors (see below), whose sum is σ = 86925384. Its totient is φ = 10402128.

The previous prime is 32789621. The next prime is 32789639. The reversal of 32789628 is 82698723.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32789621) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 164673 + ... + 164871.

Almost surely, 2^32789628 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 32789628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43462692).

32789628 is an abundant number, since it is smaller than the sum of its proper divisors (54135756).

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

32789628 is a wasteful number, since it uses less digits than its factorization.

32789628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 227 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 32789628 is about 5726.2228388354. Note that the first 3 decimals coincide. The cubic root of 32789628 is about 320.0703881619.

The spelling of 32789628 in words is "thirty-two million, seven hundred eighty-nine thousand, six hundred twenty-eight".