4028224608 has 144 divisors (see below), whose sum is σ = 11976007680. Its totient is φ = 1331842176.

The previous prime is 4028224597. The next prime is 4028224643. The reversal of 4028224608 is 8064228204.

It is a happy number.

4028224608 is a `hidden beast` number, since 4 + 0 + 28 + 2 + 24 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 985513 + ... + 989591.

It is an arithmetic number, because the mean of its divisors is an integer number (83166720).

Almost surely, 2^4028224608 is an apocalyptic number.

4028224608 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 4028224608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5988003840).

4028224608 is an abundant number, since it is smaller than the sum of its proper divisors (7947783072).

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

4028224608 is a wasteful number, since it uses less digits than its factorization.

4028224608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4231 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4028224608 is about 63468.2960855260. The cubic root of 4028224608 is about 1591.1259522062.

The spelling of 4028224608 in words is "four billion, twenty-eight million, two hundred twenty-four thousand, six hundred eight".