4688460288 has 120 divisors (see below), whose sum is σ = 13564980000. Its totient is φ = 1558923264.

The previous prime is 4688460269. The next prime is 4688460307. The reversal of 4688460288 is 8820648864.

It is an interprime number because it is at equal distance from previous prime (4688460269) and next prime (4688460307).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2298373 + ... + 2300411.

It is an arithmetic number, because the mean of its divisors is an integer number (113041500).

Almost surely, 2^4688460288 is an apocalyptic number.

4688460288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4688460288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6782490000).

4688460288 is an abundant number, since it is smaller than the sum of its proper divisors (8876519712).

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

4688460288 is a wasteful number, since it uses less digits than its factorization.

4688460288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The square root of 4688460288 is about 68472.3322810024. The cubic root of 4688460288 is about 1673.6966515673.

The spelling of 4688460288 in words is "four billion, six hundred eighty-eight million, four hundred sixty thousand, two hundred eighty-eight".