288996313320 has 1536 divisors, whose sum is σ = 1246913740800. Its totient is φ = 59122483200.

The previous prime is 288996313313. The next prime is 288996313321. The reversal of 288996313320 is 23313699882.

It is a happy number.

288996313320 is a `hidden beast` number, since 288 + 9 + 9 + 6 + 31 + 3 + 320 = 666.

It is a super-2 number, since 2×288996313320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (288996313321) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 818686264 + ... + 818686616.

It is an arithmetic number, because the mean of its divisors is an integer number (811792800).

Almost surely, 2^288996313320 is an apocalyptic number.

288996313320 is a gapful number since it is divisible by the number (20) 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 288996313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623456870400).

288996313320 is an abundant number, since it is smaller than the sum of its proper divisors (957917427480).

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

288996313320 is a wasteful number, since it uses less digits than its factorization.

288996313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 288996313320 in words is "two hundred eighty-eight billion, nine hundred ninety-six million, three hundred thirteen thousand, three hundred twenty".