4928716800 has 540 divisors, whose sum is σ = 20283035136. Its totient is φ = 1120665600.

The previous prime is 4928716783. The next prime is 4928716811. The reversal of 4928716800 is 86178294.

4928716800 is a `hidden beast` number, since 492 + 87 + 1 + 6 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25804705 + ... + 25804895.

Almost surely, 2^4928716800 is an apocalyptic number.

4928716800 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 4928716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10141517568).

4928716800 is an abundant number, since it is smaller than the sum of its proper divisors (15354318336).

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

4928716800 is a wasteful number, since it uses less digits than its factorization.

4928716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 4928716800 is about 70204.8203473237. The cubic root of 4928716800 is about 1701.8108500870.

The spelling of 4928716800 in words is "four billion, nine hundred twenty-eight million, seven hundred sixteen thousand, eight hundred".