8243928 has 96 divisors (see below), whose sum is σ = 27855360. Its totient is φ = 2139840.

The previous prime is 8243927. The next prime is 8243947. The reversal of 8243928 is 8293428.

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 = 8243892 and 8243901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8243927) 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, 4801 + ... + 6287.

It is an arithmetic number, because the mean of its divisors is an integer number (290160).

Almost surely, 2^8243928 is an apocalyptic number.

8243928 is a gapful number since it is divisible by the number (88) 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 8243928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680).

8243928 is an abundant number, since it is smaller than the sum of its proper divisors (19611432).

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

8243928 is a wasteful number, since it uses less digits than its factorization.

8243928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1510 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 8243928 is about 2871.2241291825. The cubic root of 8243928 is about 202.0124163201.

The spelling of 8243928 in words is "eight million, two hundred forty-three thousand, nine hundred twenty-eight".