288289152 has 64 divisors (see below), whose sum is σ = 850863600. Its totient is φ = 96095232.

The previous prime is 288289123. The next prime is 288289189. The reversal of 288289152 is 251982882.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×288289152² = 166221270321758208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 288289098 and 288289107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38253 + ... + 45164.

Almost surely, 2^288289152 is an apocalyptic number.

It is an amenable number.

288289152 is an abundant number, since it is smaller than the sum of its proper divisors (562574448).

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

288289152 is an equidigital number, since it uses as much as digits as its factorization.

288289152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83440 (or 83422 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 288289152 is about 16979.0798337248. The cubic root of 288289152 is about 660.6063848530.

The spelling of 288289152 in words is "two hundred eighty-eight million, two hundred eighty-nine thousand, one hundred fifty-two".