813140328 has 384 divisors, whose sum is σ = 2927957760. Its totient is φ = 182476800.

The previous prime is 813140303. The next prime is 813140381. The reversal of 813140328 is 823041318.

It is a super-2 number, since 2×813140328² = 1322394386039895168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 813140295 and 813140304.

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, 4492398 + ... + 4492578.

It is an arithmetic number, because the mean of its divisors is an integer number (7624890).

Almost surely, 2^813140328 is an apocalyptic number.

813140328 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 813140328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463978880).

813140328 is an abundant number, since it is smaller than the sum of its proper divisors (2114817432).

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

813140328 is a wasteful number, since it uses less digits than its factorization.

813140328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 813140328 is about 28515.6155115053. The cubic root of 813140328 is about 933.3728562628.

It can be divided in two parts, 813 and 140328, that added together give a palindrome (141141).

The spelling of 813140328 in words is "eight hundred thirteen million, one hundred forty thousand, three hundred twenty-eight".