8242728 has 64 divisors (see below), whose sum is σ = 22982400. Its totient is φ = 2446080.

The previous prime is 8242727. The next prime is 8242733. The reversal of 8242728 is 8272428.

8242728 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (8242723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8593 + ... + 9503.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 2^8242728 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 8242728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491200).

8242728 is an abundant number, since it is smaller than the sum of its proper divisors (14739672).

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

8242728 is a wasteful number, since it uses less digits than its factorization.

8242728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 958 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 8242728 is about 2871.0151514752. The cubic root of 8242728 is about 202.0026140890.

The spelling of 8242728 in words is "eight million, two hundred forty-two thousand, seven hundred twenty-eight".