4780607328 has 288 divisors, whose sum is σ = 16492170240. Its totient is φ = 1283143680.

The previous prime is 4780607291. The next prime is 4780607387. The reversal of 4780607328 is 8237060874.

It is a happy number.

4780607328 is a `hidden beast` number, since 4 + 7 + 8 + 0 + 607 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5247193 + ... + 5248103.

It is an arithmetic number, because the mean of its divisors is an integer number (57264480).

Almost surely, 2^4780607328 is an apocalyptic number.

4780607328 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 4780607328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8246085120).

4780607328 is an abundant number, since it is smaller than the sum of its proper divisors (11711562912).

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

4780607328 is a wasteful number, since it uses less digits than its factorization.

4780607328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4780607328 is about 69141.9361024841. The cubic root of 4780607328 is about 1684.5905403248.

The spelling of 4780607328 in words is "four billion, seven hundred eighty million, six hundred seven thousand, three hundred twenty-eight".