4248728640 has 448 divisors, whose sum is σ = 16375806720. Its totient is φ = 1043601408.

The previous prime is 4248728599. The next prime is 4248728647. The reversal of 4248728640 is 468278424.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4248728647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9097687 + ... + 9098153.

It is an arithmetic number, because the mean of its divisors is an integer number (36553140).

Almost surely, 2^4248728640 is an apocalyptic number.

4248728640 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 4248728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8187903360).

4248728640 is an abundant number, since it is smaller than the sum of its proper divisors (12127078080).

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

4248728640 is an equidigital number, since it uses as much as digits as its factorization.

4248728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 4248728640 is about 65182.2724366066. The cubic root of 4248728640 is about 1619.6443663790.

The spelling of 4248728640 in words is "four billion, two hundred forty-eight million, seven hundred twenty-eight thousand, six hundred forty".