4282057728 has 264 divisors, whose sum is σ = 13483474368. Its totient is φ = 1301004288.

The previous prime is 4282057723. The next prime is 4282057751. The reversal of 4282057728 is 8277502824.

It is not an unprimeable number, because it can be changed into a prime (4282057723) 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, 12340051 + ... + 12340397.

Almost surely, 2^4282057728 is an apocalyptic number.

4282057728 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 4282057728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6741737184).

4282057728 is an abundant number, since it is smaller than the sum of its proper divisors (9201416640).

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

4282057728 is a wasteful number, since it uses less digits than its factorization.

4282057728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 4282057728 is about 65437.4336905108. The cubic root of 4282057728 is about 1623.8684323191.

The spelling of 4282057728 in words is "four billion, two hundred eighty-two million, fifty-seven thousand, seven hundred twenty-eight".