811081728 has 224 divisors, whose sum is σ = 2542641600. Its totient is φ = 254803968.

The previous prime is 811081717. The next prime is 811081751. The reversal of 811081728 is 827180118.

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 = 811081692 and 811081701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4202400 + ... + 4202592.

Almost surely, 2^811081728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811081728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271320800).

811081728 is an abundant number, since it is smaller than the sum of its proper divisors (1731559872).

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

811081728 is a wasteful number, since it uses less digits than its factorization.

811081728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The square root of 811081728 is about 28479.4966247650. The cubic root of 811081728 is about 932.5845277448.

The spelling of 811081728 in words is "eight hundred eleven million, eighty-one thousand, seven hundred twenty-eight".