4128725328 has 160 divisors (see below), whose sum is σ = 13551132672. Its totient is φ = 1053734400.

The previous prime is 4128725261. The next prime is 4128725339. The reversal of 4128725328 is 8235278214.

4128725328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 4128725328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120163 + ... + 150653.

Almost surely, 2^4128725328 is an apocalyptic number.

4128725328 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 4128725328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6775566336).

4128725328 is an abundant number, since it is smaller than the sum of its proper divisors (9422407344).

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

4128725328 is a wasteful number, since it uses less digits than its factorization.

4128725328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30553 (or 30547 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 4128725328 is about 64255.1579875110. The cubic root of 4128725328 is about 1604.2498123568.

The spelling of 4128725328 in words is "four billion, one hundred twenty-eight million, seven hundred twenty-five thousand, three hundred twenty-eight".