4221334728 has 324 divisors, whose sum is σ = 13500813105. Its totient is φ = 1190816640.

The previous prime is 4221334727. The next prime is 4221334757. The reversal of 4221334728 is 8274331224.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3609366084 + 611968644 = 60078^2 + 24738^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=45942.

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

It is a junction number, because it is equal to n+sod(n) for n = 4221334692 and 4221334701.

It is not an unprimeable number, because it can be changed into a prime (4221334723) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 136172073 + ... + 136172103.

Almost surely, 2^4221334728 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 4221334728

4221334728 is an abundant number, since it is smaller than the sum of its proper divisors (9279478377).

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

4221334728 is a wasteful number, since it uses less digits than its factorization.

4221334728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 68 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 4221334728 is about 64971.7994825447. The cubic root of 4221334728 is about 1616.1559429046.

The spelling of 4221334728 in words is "four billion, two hundred twenty-one million, three hundred thirty-four thousand, seven hundred twenty-eight".