812539728 has 320 divisors, whose sum is σ = 3133132800. Its totient is φ = 194711040.

The previous prime is 812539709. The next prime is 812539757. The reversal of 812539728 is 827935218.

It is a happy number.

812539728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 431493 + ... + 433371.

It is an arithmetic number, because the mean of its divisors is an integer number (9791040).

Almost surely, 2^812539728 is an apocalyptic number.

812539728 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 812539728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566566400).

812539728 is an abundant number, since it is smaller than the sum of its proper divisors (2320593072).

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

812539728 is a wasteful number, since it uses less digits than its factorization.

812539728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1915 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 812539728 is about 28505.0824941799. The cubic root of 812539728 is about 933.1429976952.

The spelling of 812539728 in words is "eight hundred twelve million, five hundred thirty-nine thousand, seven hundred twenty-eight".