4832688000 has 512 divisors, whose sum is σ = 19298073600. Its totient is φ = 1045094400.

The previous prime is 4832687953. The next prime is 4832688017. The reversal of 4832688000 is 8862384.

It is a self number, because there is not a number n which added to its sum of digits gives 4832688000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6383622 + ... + 6384378.

It is an arithmetic number, because the mean of its divisors is an integer number (37691550).

Almost surely, 2^4832688000 is an apocalyptic number.

4832688000 is a gapful number since it is divisible by the number (40) 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 4832688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9649036800).

4832688000 is an abundant number, since it is smaller than the sum of its proper divisors (14465385600).

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

4832688000 is a wasteful number, since it uses less digits than its factorization.

4832688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 4832688000 is about 69517.5373556918. The cubic root of 4832688000 is about 1690.6858553927.

The spelling of 4832688000 in words is "four billion, eight hundred thirty-two million, six hundred eighty-eight thousand".