4272323328 has 648 divisors, whose sum is σ = 16030568736. Its totient is φ = 1083801600.

The previous prime is 4272323309. The next prime is 4272323353. The reversal of 4272323328 is 8233232724.

4272323328 is a `hidden beast` number, since 4 + 2 + 7 + 2 + 323 + 328 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 4272323292 and 4272323301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60173533 + ... + 60173603.

It is an arithmetic number, because the mean of its divisors is an integer number (24738532).

Almost surely, 2^4272323328 is an apocalyptic number.

4272323328 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 4272323328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015284368).

4272323328 is an abundant number, since it is smaller than the sum of its proper divisors (11758245408).

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

4272323328 is a wasteful number, since it uses less digits than its factorization.

4272323328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 4272323328 is about 65363.0119257061. The cubic root of 4272323328 is about 1622.6369855606.

The spelling of 4272323328 in words is "four billion, two hundred seventy-two million, three hundred twenty-three thousand, three hundred twenty-eight".