28248030720 has 960 divisors, whose sum is σ = 125116992000. Its totient is φ = 5948080128.

The previous prime is 28248030689. The next prime is 28248030763. The reversal of 28248030720 is 2703084282.

28248030720 is a `hidden beast` number, since 2 + 82 + 480 + 30 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56609031 + ... + 56609529.

It is an arithmetic number, because the mean of its divisors is an integer number (130330200).

Almost surely, 2^28248030720 is an apocalyptic number.

28248030720 is a gapful number since it is divisible by the number (20) 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 28248030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62558496000).

28248030720 is an abundant number, since it is smaller than the sum of its proper divisors (96868961280).

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

28248030720 is an equidigital number, since it uses as much as digits as its factorization.

28248030720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 28248030720 in words is "twenty-eight billion, two hundred forty-eight million, thirty thousand, seven hundred twenty".