4391267328 has 264 divisors, whose sum is σ = 14837442048. Its totient is φ = 1224695808.

The previous prime is 4391267299. The next prime is 4391267351. The reversal of 4391267328 is 8237621934.

4391267328 is a `hidden beast` number, since 439 + 126 + 73 + 28 = 666.

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

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, 2773225 + ... + 2774807.

It is an arithmetic number, because the mean of its divisors is an integer number (56202432).

Almost surely, 2^4391267328 is an apocalyptic number.

4391267328 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 4391267328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418721024).

4391267328 is an abundant number, since it is smaller than the sum of its proper divisors (10446174720).

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

4391267328 is a wasteful number, since it uses less digits than its factorization.

4391267328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1638 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 4391267328 is about 66266.6381220596. The cubic root of 4391267328 is about 1637.5577529346.

The spelling of 4391267328 in words is "four billion, three hundred ninety-one million, two hundred sixty-seven thousand, three hundred twenty-eight".