4183921728 has 224 divisors, whose sum is σ = 14186123520. Its totient is φ = 1184440320.

The previous prime is 4183921723. The next prime is 4183921759. The reversal of 4183921728 is 8271293814.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4183921723) 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 31 ways as a sum of consecutive naturals, for example, 1365318 + ... + 1368378.

Almost surely, 2^4183921728 is an apocalyptic number.

4183921728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4183921728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7093061760).

4183921728 is an abundant number, since it is smaller than the sum of its proper divisors (10002201792).

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

4183921728 is a wasteful number, since it uses less digits than its factorization.

4183921728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3186 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 4183921728 is about 64683.2414772173. The cubic root of 4183921728 is about 1611.3671922556.

The spelling of 4183921728 in words is "four billion, one hundred eighty-three million, nine hundred twenty-one thousand, seven hundred twenty-eight".