8362728 has 48 divisors (see below), whose sum is σ = 24710400. Its totient is φ = 2533920.

The previous prime is 8362727. The next prime is 8362733. The reversal of 8362728 is 8272638.

It is a happy number.

8362728 is a `hidden beast` number, since 8 + 3 + 627 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8362692 and 8362701.

It is not an unprimeable number, because it can be changed into a prime (8362721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4488 + ... + 6071.

It is an arithmetic number, because the mean of its divisors is an integer number (514800).

Almost surely, 2^8362728 is an apocalyptic number.

8362728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8362728 is an abundant number, since it is smaller than the sum of its proper divisors (16347672).

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

8362728 is a wasteful number, since it uses less digits than its factorization.

8362728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10582 (or 10575 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 8362728 is about 2891.8381697460. The cubic root of 8362728 is about 202.9781658512.

The spelling of 8362728 in words is "eight million, three hundred sixty-two thousand, seven hundred twenty-eight".