288973152 has 144 divisors (see below), whose sum is σ = 897099840. Its totient is φ = 87699456.

The previous prime is 288973129. The next prime is 288973159. The reversal of 288973152 is 251379882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 288973098 and 288973107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288973159) 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 23 ways as a sum of consecutive naturals, for example, 295288 + ... + 296264.

It is an arithmetic number, because the mean of its divisors is an integer number (6229860).

Almost surely, 2^288973152 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 288973152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448549920).

288973152 is an abundant number, since it is smaller than the sum of its proper divisors (608126688).

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

288973152 is a wasteful number, since it uses less digits than its factorization.

288973152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1074 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 288973152 is about 16999.2103346008. The cubic root of 288973152 is about 661.1284277104.

The spelling of 288973152 in words is "two hundred eighty-eight million, nine hundred seventy-three thousand, one hundred fifty-two".