4315728000 has 256 divisors, whose sum is σ = 14618672640. Its totient is φ = 1125785600.

The previous prime is 4315727959. The next prime is 4315728013. The reversal of 4315728000 is 8275134.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2255044 + ... + 2256956.

It is an arithmetic number, because the mean of its divisors is an integer number (57104190).

Almost surely, 2^4315728000 is an apocalyptic number.

4315728000 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 4315728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7309336320).

4315728000 is an abundant number, since it is smaller than the sum of its proper divisors (10302944640).

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

4315728000 is a wasteful number, since it uses less digits than its factorization.

4315728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 4315728000 is about 65694.2006572879. The cubic root of 4315728000 is about 1628.1135414133.

The spelling of 4315728000 in words is "four billion, three hundred fifteen million, seven hundred twenty-eight thousand".