4028809824 has 288 divisors, whose sum is σ = 12827243520. Its totient is φ = 1191407616.

The previous prime is 4028809819. The next prime is 4028809831. The reversal of 4028809824 is 4289088204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 4028809824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17592942 + ... + 17593170.

It is an arithmetic number, because the mean of its divisors is an integer number (44539040).

Almost surely, 2^4028809824 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 4028809824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6413621760).

4028809824 is an abundant number, since it is smaller than the sum of its proper divisors (8798433696).

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

4028809824 is a wasteful number, since it uses less digits than its factorization.

4028809824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 4028809824 is about 63472.9062198983. The cubic root of 4028809824 is about 1591.2030008126.

The spelling of 4028809824 in words is "four billion, twenty-eight million, eight hundred nine thousand, eight hundred twenty-four".