5725456128 has 216 divisors, whose sum is σ = 18999192576. Its totient is φ = 1624320000.

The previous prime is 5725456127. The next prime is 5725456141. The reversal of 5725456128 is 8216545275.

5725456128 is a `hidden beast` number, since 5 + 7 + 25 + 4 + 5 + 612 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5725456127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2434153 + ... + 2436503.

Almost surely, 2^5725456128 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 5725456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9499596288).

5725456128 is an abundant number, since it is smaller than the sum of its proper divisors (13273736448).

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

5725456128 is a wasteful number, since it uses less digits than its factorization.

5725456128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2514 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 5725456128 is about 75666.7438707389. The cubic root of 5725456128 is about 1788.9712603632.

The spelling of 5725456128 in words is "five billion, seven hundred twenty-five million, four hundred fifty-six thousand, one hundred twenty-eight".