288629055 has 64 divisors (see below), whose sum is σ = 602864640. Its totient is φ = 129168000.

The previous prime is 288629051. The next prime is 288629059. The reversal of 288629055 is 550926882.

It is an interprime number because it is at equal distance from previous prime (288629051) and next prime (288629059).

It is not a de Polignac number, because 288629055 - 2² = 288629051 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 288629055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288629051) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11830 + ... + 26780.

It is an arithmetic number, because the mean of its divisors is an integer number (9419760).

Almost surely, 2^288629055 is an apocalyptic number.

288629055 is an abundant number, since it is smaller than the sum of its proper divisors (314235585).

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

288629055 is a wasteful number, since it uses less digits than its factorization.

288629055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14989 (or 14983 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 288629055 is about 16989.0863497717. The cubic root of 288629055 is about 660.8659088998.

The spelling of 288629055 in words is "two hundred eighty-eight million, six hundred twenty-nine thousand, fifty-five".