4928313600 has 648 divisors, whose sum is σ = 21351133440. Its totient is φ = 1058734080.

The previous prime is 4928313547. The next prime is 4928313623. The reversal of 4928313600 is 63138294.

4928313600 is a `hidden beast` number, since 49 + 2 + 8 + 3 + 1 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6854041 + ... + 6854759.

It is an arithmetic number, because the mean of its divisors is an integer number (32949280).

Almost surely, 2^4928313600 is an apocalyptic number.

4928313600 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 4928313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10675566720).

4928313600 is an abundant number, since it is smaller than the sum of its proper divisors (16422819840).

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

4928313600 is a wasteful number, since it uses less digits than its factorization.

4928313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4928313600 is about 70201.9486909017. The cubic root of 4928313600 is about 1701.7644425483.

The spelling of 4928313600 in words is "four billion, nine hundred twenty-eight million, three hundred thirteen thousand, six hundred".