3932728448 has 96 divisors (see below), whose sum is σ = 8890613760. Its totient is φ = 1729728000.

The previous prime is 3932728427. The next prime is 3932728451. The reversal of 3932728448 is 8448272393.

It is a junction number, because it is equal to n+sod(n) for n = 3932728396 and 3932728405.

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 11 ways as a sum of consecutive naturals, for example, 476033 + ... + 484223.

It is an arithmetic number, because the mean of its divisors is an integer number (92610560).

Almost surely, 2^3932728448 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 3932728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445306880).

3932728448 is an abundant number, since it is smaller than the sum of its proper divisors (4957885312).

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

3932728448 is a wasteful number, since it uses less digits than its factorization.

3932728448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8258 (or 8235 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 50.

The square root of 3932728448 is about 62711.4698280944. The cubic root of 3932728448 is about 1578.4517825721.

The spelling of 3932728448 in words is "three billion, nine hundred thirty-two million, seven hundred twenty-eight thousand, four hundred forty-eight".