2448272728 has 64 divisors (see below), whose sum is σ = 5106625920. Its totient is φ = 1091059200.

The previous prime is 2448272719. The next prime is 2448272821. The reversal of 2448272728 is 8272728442.

Its product of digits (802816) is a multiple of the sum of its prime factors (2048).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1420075 + ... + 1421797.

It is an arithmetic number, because the mean of its divisors is an integer number (79791030).

Almost surely, 2^2448272728 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 2448272728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553312960).

2448272728 is an abundant number, since it is smaller than the sum of its proper divisors (2658353192).

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

2448272728 is a wasteful number, since it uses less digits than its factorization.

2448272728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2044 counting only the distinct ones).

The product of its digits is 802816, while the sum is 46.

The square root of 2448272728 is about 49480.0235246508. The cubic root of 2448272728 is about 1347.7828679317.

The spelling of 2448272728 in words is "two billion, four hundred forty-eight million, two hundred seventy-two thousand, seven hundred twenty-eight".