818000128 has 72 divisors (see below), whose sum is σ = 1804279680. Its totient is φ = 367011840.

The previous prime is 818000081. The next prime is 818000149. The reversal of 818000128 is 821000818.

818000128 is a nontrivial binomial coefficient, being equal to C(40448, 2).

It is a junction number, because it is equal to n+sod(n) for n = 818000096 and 818000105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220626 + ... + 224302.

It is an arithmetic number, because the mean of its divisors is an integer number (25059440).

Almost surely, 2^818000128 is an apocalyptic number.

818000128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

818000128 is the 40447-th triangular number and also the 20224-th hexagonal number.

818000128 is the 13483-rd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 818000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902139840).

818000128 is an abundant number, since it is smaller than the sum of its proper divisors (986279552).

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

818000128 is a wasteful number, since it uses less digits than its factorization.

818000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

The square root of 818000128 is about 28600.7015298576. The cubic root of 818000128 is about 935.2286239712.

The spelling of 818000128 in words is "eight hundred eighteen million, one hundred twenty-eight", and thus it is an aban number.