288904788672 has 112 divisors (see below), whose sum is σ = 790019361792. Its totient is φ = 93080816640.

The previous prime is 288904788671. The next prime is 288904788673. The reversal of 288904788672 is 276887409882.

It is an interprime number because it is at equal distance from previous prime (288904788671) and next prime (288904788673).

It is a super-2 number, since 2×288904788672² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 288904788597 and 288904788606.

It is not an unprimeable number, because it can be changed into a prime (288904788671) 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 15 ways as a sum of consecutive naturals, for example, 4892958 + ... + 4951650.

Almost surely, 2^288904788672 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 288904788672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395009680896).

288904788672 is an abundant number, since it is smaller than the sum of its proper divisors (501114573120).

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

288904788672 is a wasteful number, since it uses less digits than its factorization.

288904788672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59566 (or 59556 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 69.

The spelling of 288904788672 in words is "two hundred eighty-eight billion, nine hundred four million, seven hundred eighty-eight thousand, six hundred seventy-two".