28393079869440 has 3744 divisors, whose sum is σ = 125549425290240. Its totient is φ = 6148738252800.

The previous prime is 28393079869439. The next prime is 28393079869499. The reversal of 28393079869440 is 4496897039382.

28393079869440 is a `hidden beast` number, since 2 + 8 + 3 + 9 + 30 + 7 + 98 + 69 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

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

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 287 ways as a sum of consecutive naturals, for example, 915905802225 + ... + 915905802255.

Almost surely, 2^{28393079869440} is an apocalyptic number.

28393079869440 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 28393079869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62774712645120).

28393079869440 is an abundant number, since it is smaller than the sum of its proper divisors (97156345420800).

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

28393079869440 is an equidigital number, since it uses as much as digits as its factorization.

28393079869440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 28393079869440 in words is "twenty-eight trillion, three hundred ninety-three billion, seventy-nine million, eight hundred sixty-nine thousand, four hundred forty".