8142728 has 32 divisors (see below), whose sum is σ = 17638560. Its totient is φ = 3482880.

The previous prime is 8142727. The next prime is 8142731. The reversal of 8142728 is 8272418.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8142694 and 8142703.

It is not an unprimeable number, because it can be changed into a prime (8142727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1226 + ... + 4217.

It is an arithmetic number, because the mean of its divisors is an integer number (551205).

Almost surely, 2^8142728 is an apocalyptic number.

8142728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8142728 is an abundant number, since it is smaller than the sum of its proper divisors (9495832).

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

8142728 is a wasteful number, since it uses less digits than its factorization.

8142728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5477 (or 5473 counting only the distinct ones).

The product of its digits is 7168, while the sum is 32.

The square root of 8142728 is about 2853.5465652412. The cubic root of 8142728 is about 201.1823959239.

The spelling of 8142728 in words is "eight million, one hundred forty-two thousand, seven hundred twenty-eight".