4688288900 has 36 divisors (see below), whose sum is σ = 10772037108. Its totient is φ = 1765002240.

The previous prime is 4688288879. The next prime is 4688288953. The reversal of 4688288900 is 98828864.

It can be written as a sum of positive squares in 6 ways, for example, as 553284484 + 4135004416 = 23522^2 + 64304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1377209 + ... + 1380608.

It is an arithmetic number, because the mean of its divisors is an integer number (299223253).

Almost surely, 2^4688288900 is an apocalyptic number.

It is an amenable number.

4688288900 is an abundant number, since it is smaller than the sum of its proper divisors (6083748208).

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

4688288900 is a wasteful number, since it uses less digits than its factorization.

4688288900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757848 (or 2757841 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 53.

The square root of 4688288900 is about 68471.0807567691. The cubic root of 4688288900 is about 1673.6762571663.

The spelling of 4688288900 in words is "four billion, six hundred eighty-eight million, two hundred eighty-eight thousand, nine hundred".