8193728 has 42 divisors (see below), whose sum is σ = 17311116. Its totient is φ = 3847168.

The previous prime is 8193719. The next prime is 8193733. The reversal of 8193728 is 8273918.

It is a junction number, because it is equal to n+sod(n) for n = 8193691 and 8193700.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18275 + ... + 18717.

Almost surely, 2^8193728 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 8193728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8655558).

8193728 is an abundant number, since it is smaller than the sum of its proper divisors (9117388).

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

8193728 is a wasteful number, since it uses less digits than its factorization.

8193728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 462 counting only the distinct ones).

The product of its digits is 24192, while the sum is 38.

The square root of 8193728 is about 2862.4688644595. The cubic root of 8193728 is about 201.6015410985.

The spelling of 8193728 in words is "eight million, one hundred ninety-three thousand, seven hundred twenty-eight".