818044128 has 288 divisors, whose sum is σ = 2698375680. Its totient is φ = 232657920.

The previous prime is 818044103. The next prime is 818044153. The reversal of 818044128 is 821440818.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (818044103) and next prime (818044153).

It is a tau number, because it is divible by the number of its divisors (288).

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 = 818044092 and 818044101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7504938 + ... + 7505046.

It is an arithmetic number, because the mean of its divisors is an integer number (9369360).

Almost surely, 2^818044128 is an apocalyptic number.

818044128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 818044128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349187840).

818044128 is an abundant number, since it is smaller than the sum of its proper divisors (1880331552).

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

818044128 is a wasteful number, since it uses less digits than its factorization.

818044128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 818044128 is about 28601.4707314152. The cubic root of 818044128 is about 935.2453922333.

The spelling of 818044128 in words is "eight hundred eighteen million, forty-four thousand, one hundred twenty-eight".