288168972 has 288 divisors, whose sum is σ = 946294272. Its totient is φ = 66189312.

The previous prime is 288168967. The next prime is 288168973. The reversal of 288168972 is 279861882.

It is a happy number.

288168972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288168973) 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 95 ways as a sum of consecutive naturals, for example, 6701583 + ... + 6701625.

It is an arithmetic number, because the mean of its divisors is an integer number (3285744).

Almost surely, 2^288168972 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 288168972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473147136).

288168972 is an abundant number, since it is smaller than the sum of its proper divisors (658125300).

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

288168972 is a wasteful number, since it uses less digits than its factorization.

288168972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 104 counting only the distinct ones).

The product of its digits is 774144, while the sum is 51.

The square root of 288168972 is about 16975.5404037692. The cubic root of 288168972 is about 660.5145757447.

The spelling of 288168972 in words is "two hundred eighty-eight million, one hundred sixty-eight thousand, nine hundred seventy-two".