813028140288 has 864 divisors, whose sum is σ = 3149866137600. Its totient is φ = 203112603648.

The previous prime is 813028140247. The next prime is 813028140299. The reversal of 813028140288 is 882041820318.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×813028140288² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107553853 + ... + 107561411.

It is an arithmetic number, because the mean of its divisors is an integer number (3645678400).

Almost surely, 2^813028140288 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 813028140288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574933068800).

813028140288 is an abundant number, since it is smaller than the sum of its proper divisors (2336837997312).

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

813028140288 is a wasteful number, since it uses less digits than its factorization.

813028140288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7629 (or 7603 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 813028140288 in words is "eight hundred thirteen billion, twenty-eight million, one hundred forty thousand, two hundred eighty-eight".