4688589048 has 256 divisors, whose sum is σ = 14368112640. Its totient is φ = 1255564800.

The previous prime is 4688589043. The next prime is 4688589053. The reversal of 4688589048 is 8409858864.

It is an interprime number because it is at equal distance from previous prime (4688589043) and next prime (4688589053).

It is a super-2 number, since 2×4688589048² = 43965734522051092608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4688588982 and 4688589000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4688589043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13511611 + ... + 13511957.

It is an arithmetic number, because the mean of its divisors is an integer number (56125440).

Almost surely, 2^4688589048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4688589048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7184056320).

4688589048 is an abundant number, since it is smaller than the sum of its proper divisors (9679523592).

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

4688589048 is a wasteful number, since it uses less digits than its factorization.

4688589048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 60.

The square root of 4688589048 is about 68473.2725083298. The cubic root of 4688589048 is about 1673.7119731011.

The spelling of 4688589048 in words is "four billion, six hundred eighty-eight million, five hundred eighty-nine thousand, forty-eight".