288649152 has 84 divisors (see below), whose sum is σ = 902595096. Its totient is φ = 87467520.

The previous prime is 288649147. The next prime is 288649169. The reversal of 288649152 is 251946882.

It is a junction number, because it is equal to n+sod(n) for n = 288649098 and 288649107.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 16443 + ... + 29114.

Almost surely, 2^288649152 is an apocalyptic number.

288649152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

288649152 is an abundant number, since it is smaller than the sum of its proper divisors (613945944).

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

288649152 is a wasteful number, since it uses less digits than its factorization.

288649152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45586 (or 45573 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 288649152 is about 16989.6778074218. The cubic root of 288649152 is about 660.8812470575.

The spelling of 288649152 in words is "two hundred eighty-eight million, six hundred forty-nine thousand, one hundred fifty-two".