4216028256 has 288 divisors, whose sum is σ = 13940035200. Its totient is φ = 1195223040.

The previous prime is 4216028249. The next prime is 4216028279. The reversal of 4216028256 is 6528206124.

It is a happy number.

4216028256 is a `hidden beast` number, since 4 + 21 + 602 + 8 + 25 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4216028256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5356695 + ... + 5357481.

It is an arithmetic number, because the mean of its divisors is an integer number (48402900).

Almost surely, 2^4216028256 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 4216028256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6970017600).

4216028256 is an abundant number, since it is smaller than the sum of its proper divisors (9724006944).

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

4216028256 is a wasteful number, since it uses less digits than its factorization.

4216028256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4216028256 is about 64930.9499083449. The cubic root of 4216028256 is about 1615.4784571585.

The spelling of 4216028256 in words is "four billion, two hundred sixteen million, twenty-eight thousand, two hundred fifty-six".