813996288 has 216 divisors, whose sum is σ = 2749883136. Its totient is φ = 226713600.

The previous prime is 813996283. The next prime is 813996307. The reversal of 813996288 is 882699318.

It is a happy number.

813996288 is a `hidden beast` number, since 8 + 1 + 3 + 9 + 9 + 628 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (813996283) 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, 660633 + ... + 661863.

Almost surely, 2^813996288 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 813996288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374941568).

813996288 is an abundant number, since it is smaller than the sum of its proper divisors (1935886848).

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

813996288 is a wasteful number, since it uses less digits than its factorization.

813996288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1284 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 813996288 is about 28530.6201825337. The cubic root of 813996288 is about 933.7002493883.

The spelling of 813996288 in words is "eight hundred thirteen million, nine hundred ninety-six thousand, two hundred eighty-eight".