4680584928 has 144 divisors (see below), whose sum is σ = 13683524400. Its totient is φ = 1516738560.

The previous prime is 4680584921. The next prime is 4680584929. The reversal of 4680584928 is 8294850864.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4680584921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4592803 + ... + 4593821.

It is an arithmetic number, because the mean of its divisors is an integer number (95024475).

Almost surely, 2^4680584928 is an apocalyptic number.

4680584928 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 4680584928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6841762200).

4680584928 is an abundant number, since it is smaller than the sum of its proper divisors (9002939472).

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

4680584928 is a wasteful number, since it uses less digits than its factorization.

4680584928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 4680584928 is about 68414.8005039845. The cubic root of 4680584928 is about 1672.7590053813.

The spelling of 4680584928 in words is "four billion, six hundred eighty million, five hundred eighty-four thousand, nine hundred twenty-eight".