4272272928 has 288 divisors, whose sum is σ = 15473203200. Its totient is φ = 1085806080.

The previous prime is 4272272891. The next prime is 4272272957. The reversal of 4272272928 is 8292722724.

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

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1040223 + ... + 1044321.

It is an arithmetic number, because the mean of its divisors is an integer number (53726400).

Almost surely, 2^4272272928 is an apocalyptic number.

4272272928 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 4272272928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7736601600).

4272272928 is an abundant number, since it is smaller than the sum of its proper divisors (11200930272).

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

4272272928 is a wasteful number, since it uses less digits than its factorization.

4272272928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180 (or 4169 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 4272272928 is about 65362.6263854200. The cubic root of 4272272928 is about 1622.6306048618.

The spelling of 4272272928 in words is "four billion, two hundred seventy-two million, two hundred seventy-two thousand, nine hundred twenty-eight".