4125457728 has 336 divisors, whose sum is σ = 14445325440. Its totient is φ = 1098842112.

The previous prime is 4125457723. The next prime is 4125457733. The reversal of 4125457728 is 8277545214.

4125457728 is a `hidden beast` number, since 4 + 1 + 2 + 54 + 577 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (4125457723) and next prime (4125457733).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4125457723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9527400 + ... + 9527832.

It is an arithmetic number, because the mean of its divisors is an integer number (42992040).

Almost surely, 2^4125457728 is an apocalyptic number.

4125457728 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 4125457728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7222662720).

4125457728 is an abundant number, since it is smaller than the sum of its proper divisors (10319867712).

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

4125457728 is a wasteful number, since it uses less digits than its factorization.

4125457728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 601 counting only the distinct ones).

The product of its digits is 627200, while the sum is 45.

The square root of 4125457728 is about 64229.7262021254. The cubic root of 4125457728 is about 1603.8264831382.

The spelling of 4125457728 in words is "four billion, one hundred twenty-five million, four hundred fifty-seven thousand, seven hundred twenty-eight".