4109200728 has 64 divisors (see below), whose sum is σ = 10534255200. Its totient is φ = 1334968320.

The previous prime is 4109200727. The next prime is 4109200763. The reversal of 4109200728 is 8270029014.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4109200727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1526808 + ... + 1529496.

Almost surely, 2^4109200728 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 4109200728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267127600).

4109200728 is an abundant number, since it is smaller than the sum of its proper divisors (6425054472).

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

4109200728 is a wasteful number, since it uses less digits than its factorization.

4109200728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292 (or 4288 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 4109200728 is about 64103.0477278577. The cubic root of 4109200728 is about 1601.7170015736.

The spelling of 4109200728 in words is "four billion, one hundred nine million, two hundred thousand, seven hundred twenty-eight".