8281728 has 192 divisors, whose sum is σ = 29702400. Its totient is φ = 2156544.

The previous prime is 8281709. The next prime is 8281751. The reversal of 8281728 is 8271828.

8281728 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8281692 and 8281701.

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, 104793 + ... + 104871.

It is an arithmetic number, because the mean of its divisors is an integer number (154700).

Almost surely, 2^8281728 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 8281728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14851200).

8281728 is an abundant number, since it is smaller than the sum of its proper divisors (21420672).

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

8281728 is a wasteful number, since it uses less digits than its factorization.

8281728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 104 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 8281728 is about 2877.7991590797. The cubic root of 8281728 is about 202.3207009156.

It can be divided in two parts, 8281 and 728, that multiplied together give a cube (6028568 = 182³).

The spelling of 8281728 in words is "eight million, two hundred eighty-one thousand, seven hundred twenty-eight".