818146728 has 72 divisors (see below), whose sum is σ = 2577590730. Its totient is φ = 233755200.

The previous prime is 818146727. The next prime is 818146729. The reversal of 818146728 is 827641818.

818146728 is a `hidden beast` number, since 8 + 181 + 467 + 2 + 8 = 666.

818146728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (818146727) and next prime (818146729).

It can be written as a sum of positive squares in only one way, i.e., 551216484 + 266930244 = 23478^2 + 16338^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (818146727) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112423 + ... + 119478.

Almost surely, 2^818146728 is an apocalyptic number.

It is an amenable number.

818146728 is an abundant number, since it is smaller than the sum of its proper divisors (1759444002).

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

818146728 is a wasteful number, since it uses less digits than its factorization.

818146728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231927 (or 231913 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 818146728 is about 28603.2642892380. The cubic root of 818146728 is about 935.2844904362.

The spelling of 818146728 in words is "eight hundred eighteen million, one hundred forty-six thousand, seven hundred twenty-eight".