28189028448 has 288 divisors, whose sum is σ = 97922732544. Its totient is φ = 7508422656.

The previous prime is 28189028423. The next prime is 28189028471. The reversal of 28189028448 is 84482098182.

28189028448 is a `hidden beast` number, since 281 + 89 + 0 + 284 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 28189028394 and 28189028403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3663261 + ... + 3670947.

It is an arithmetic number, because the mean of its divisors is an integer number (340009488).

Almost surely, 2^28189028448 is an apocalyptic number.

28189028448 is a gapful number since it is divisible by the number (28) 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 28189028448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48961366272).

28189028448 is an abundant number, since it is smaller than the sum of its proper divisors (69733704096).

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

28189028448 is a wasteful number, since it uses less digits than its factorization.

28189028448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7834 (or 7823 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 28189028448 in words is "twenty-eight billion, one hundred eighty-nine million, twenty-eight thousand, four hundred forty-eight".