813219288 has 96 divisors (see below), whose sum is σ = 2389690800. Its totient is φ = 229920768.

The previous prime is 813219287. The next prime is 813219307. The reversal of 813219288 is 882912318.

It is a Cunningham number, because it is equal to 28517²-1.

It is a super-2 number, since 2×813219288² = 1322651220750453888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813219287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110508 + ... + 117636.

Almost surely, 2^813219288 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 813219288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194845400).

813219288 is an abundant number, since it is smaller than the sum of its proper divisors (1576471512).

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

813219288 is a wasteful number, since it uses less digits than its factorization.

813219288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7249 (or 7238 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The square root of 813219288 is about 28516.9999824666. Note that the first 4 decimals coincide. The cubic root of 813219288 is about 933.4030670120.

It can be divided in two parts, 81321 and 9288, that added together give a palindrome (90609).

The spelling of 813219288 in words is "eight hundred thirteen million, two hundred nineteen thousand, two hundred eighty-eight".