35828928 has 84 divisors (see below), whose sum is σ = 108767880. Its totient is φ = 11237376.

The previous prime is 35828921. The next prime is 35828953. The reversal of 35828928 is 82982853.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (35828921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7963 + ... + 11621.

Almost surely, 2^35828928 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 35828928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54383940).

35828928 is an abundant number, since it is smaller than the sum of its proper divisors (72938952).

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

35828928 is a wasteful number, since it uses less digits than its factorization.

35828928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3681 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 35828928 is about 5985.7270235118. The cubic root of 35828928 is about 329.6688689471.

The spelling of 35828928 in words is "thirty-five million, eight hundred twenty-eight thousand, nine hundred twenty-eight".