4094281728 has 288 divisors, whose sum is σ = 12938234400. Its totient is φ = 1289945088.

The previous prime is 4094281699. The next prime is 4094281739. The reversal of 4094281728 is 8271824904.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9455400 + ... + 9455832.

It is an arithmetic number, because the mean of its divisors is an integer number (44924425).

Almost surely, 2^4094281728 is an apocalyptic number.

4094281728 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 4094281728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6469117200).

4094281728 is an abundant number, since it is smaller than the sum of its proper divisors (8843952672).

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

4094281728 is an equidigital number, since it uses as much as digits as its factorization.

4094281728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4094281728 is about 63986.5745918626. The cubic root of 4094281728 is about 1599.7762353740.

The spelling of 4094281728 in words is "four billion, ninety-four million, two hundred eighty-one thousand, seven hundred twenty-eight".