4282981728 has 96 divisors (see below), whose sum is σ = 11515797216. Its totient is φ = 1393287168.

The previous prime is 4282981723. The next prime is 4282981739. The reversal of 4282981728 is 8271892824.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4282981721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1000200 + ... + 1004472.

It is an arithmetic number, because the mean of its divisors is an integer number (119956221).

Almost surely, 2^4282981728 is an apocalyptic number.

4282981728 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 4282981728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757898608).

4282981728 is an abundant number, since it is smaller than the sum of its proper divisors (7232815488).

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

4282981728 is a wasteful number, since it uses less digits than its factorization.

4282981728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 4528 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 51.

The square root of 4282981728 is about 65444.4934887573. The cubic root of 4282981728 is about 1623.9852255849.

The spelling of 4282981728 in words is "four billion, two hundred eighty-two million, nine hundred eighty-one thousand, seven hundred twenty-eight".