28398411675648 has 960 divisors, whose sum is σ = 99280549368000. Its totient is φ = 8084292894720.

The previous prime is 28398411675637. The next prime is 28398411675649. The reversal of 28398411675648 is 84657611489382.

28398411675648 is a `hidden beast` number, since 2 + 8 + 3 + 9 + 8 + 41 + 16 + 7 + 564 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28398411675649) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19175159068 + ... + 19175160548.

It is an arithmetic number, because the mean of its divisors is an integer number (103417238925).

Almost surely, 2^{28398411675648} is an apocalyptic number.

28398411675648 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 28398411675648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49640274684000).

28398411675648 is an abundant number, since it is smaller than the sum of its proper divisors (70882137692352).

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

28398411675648 is an equidigital number, since it uses as much as digits as its factorization.

28398411675648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1830 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 28398411675648 in words is "twenty-eight trillion, three hundred ninety-eight billion, four hundred eleven million, six hundred seventy-five thousand, six hundred forty-eight".