813928368 has 160 divisors (see below), whose sum is σ = 2397917952. Its totient is φ = 235699200.

The previous prime is 813928361. The next prime is 813928399. The reversal of 813928368 is 863829318.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (813928361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1191355 + ... + 1192037.

Almost surely, 2^813928368 is an apocalyptic number.

813928368 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 813928368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198958976).

813928368 is an abundant number, since it is smaller than the sum of its proper divisors (1583989584).

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

813928368 is a wasteful number, since it uses less digits than its factorization.

813928368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 797 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 813928368 is about 28529.4298576049. The cubic root of 813928368 is about 933.6742792924.

The spelling of 813928368 in words is "eight hundred thirteen million, nine hundred twenty-eight thousand, three hundred sixty-eight".