812791728 has 360 divisors, whose sum is σ = 2903147520. Its totient is φ = 207152640.

The previous prime is 812791723. The next prime is 812791751. The reversal of 812791728 is 827197218.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812791723) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21967326 + ... + 21967362.

Almost surely, 2^812791728 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 812791728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451573760).

812791728 is an abundant number, since it is smaller than the sum of its proper divisors (2090355792).

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

812791728 is a wasteful number, since it uses less digits than its factorization.

812791728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 99 counting only the distinct ones).

The product of its digits is 112896, while the sum is 45.

The square root of 812791728 is about 28509.5024158613. The cubic root of 812791728 is about 933.2394556372.

The spelling of 812791728 in words is "eight hundred twelve million, seven hundred ninety-one thousand, seven hundred twenty-eight".