32828928 has 160 divisors (see below), whose sum is σ = 100172160. Its totient is φ = 9461760.

The previous prime is 32828927. The next prime is 32828951. The reversal of 32828928 is 82982823.

Its product of digits (110592) is a multiple of the sum of its prime factors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 32828928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32828927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489951 + ... + 490017.

It is an arithmetic number, because the mean of its divisors is an integer number (626076).

Almost surely, 2^32828928 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 32828928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50086080).

32828928 is an abundant number, since it is smaller than the sum of its proper divisors (67343232).

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

32828928 is a wasteful number, since it uses less digits than its factorization.

32828928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 32828928 is about 5729.6533926582. The cubic root of 32828928 is about 320.1982105348.

The spelling of 32828928 in words is "thirty-two million, eight hundred twenty-eight thousand, nine hundred twenty-eight".