288891252 has 48 divisors (see below), whose sum is σ = 806594880. Its totient is φ = 88889184.

The previous prime is 288891223. The next prime is 288891259. The reversal of 288891252 is 252198882.

It is a junction number, because it is equal to n+sod(n) for n = 288891198 and 288891207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288891259) 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 15 ways as a sum of consecutive naturals, for example, 101478 + ... + 104285.

It is an arithmetic number, because the mean of its divisors is an integer number (16804060).

Almost surely, 2^288891252 is an apocalyptic number.

It is an amenable number.

288891252 is an abundant number, since it is smaller than the sum of its proper divisors (517703628).

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

288891252 is a wasteful number, since it uses less digits than its factorization.

288891252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205789 (or 205781 counting only the distinct ones).

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

The square root of 288891252 is about 16996.8012284665. The cubic root of 288891252 is about 661.0659633903.

The spelling of 288891252 in words is "two hundred eighty-eight million, eight hundred ninety-one thousand, two hundred fifty-two".