288687672 has 256 divisors, whose sum is σ = 1040256000. Its totient is φ = 72036864.

The previous prime is 288687671. The next prime is 288687673. The reversal of 288687672 is 276786882.

It is an interprime number because it is at equal distance from previous prime (288687671) and next prime (288687673).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288687671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 373078 + ... + 373850.

It is an arithmetic number, because the mean of its divisors is an integer number (4063500).

Almost surely, 2^288687672 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 288687672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520128000).

288687672 is an abundant number, since it is smaller than the sum of its proper divisors (751568328).

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

288687672 is a wasteful number, since it uses less digits than its factorization.

288687672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 817 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 288687672 is about 16990.8113991063. The cubic root of 288687672 is about 660.9106437757.

The spelling of 288687672 in words is "two hundred eighty-eight million, six hundred eighty-seven thousand, six hundred seventy-two".