288629060 has 24 divisors (see below), whose sum is σ = 641775960. Its totient is φ = 108660224.

The previous prime is 288629059. The next prime is 288629069. The reversal of 288629060 is 60926882.

It can be written as a sum of positive squares in 4 ways, for example, as 1800964 + 286828096 = 1342^2 + 16936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 288628999 and 288629017.

It is not an unprimeable number, because it can be changed into a prime (288629069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424115 + ... + 424794.

It is an arithmetic number, because the mean of its divisors is an integer number (26740665).

Almost surely, 2^288629060 is an apocalyptic number.

288629060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288629060 is an abundant number, since it is smaller than the sum of its proper divisors (353146900).

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

288629060 is a wasteful number, since it uses less digits than its factorization.

288629060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848935 (or 848933 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 288629060 is about 16989.0864969250. The cubic root of 288629060 is about 660.8659127159.

The spelling of 288629060 in words is "two hundred eighty-eight million, six hundred twenty-nine thousand, sixty".