28447816320 has 1440 divisors, whose sum is σ = 133374264660. Its totient is φ = 5563514880.

The previous prime is 28447816301. The next prime is 28447816333. The reversal of 28447816320 is 2361874482.

It is a happy number.

28447816320 is a `hidden beast` number, since 2 + 8 + 4 + 4 + 7 + 8 + 1 + 632 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28280476224 + 167340096 = 168168^2 + 12936^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1673400952 + ... + 1673400968.

Almost surely, 2^28447816320 is an apocalyptic number.

28447816320 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 28447816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66687132330).

28447816320 is an abundant number, since it is smaller than the sum of its proper divisors (104926448340).

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

28447816320 is a wasteful number, since it uses less digits than its factorization.

28447816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 28447816320 in words is "twenty-eight billion, four hundred forty-seven million, eight hundred sixteen thousand, three hundred twenty".