28073236193280 has 1344 divisors, whose sum is σ = 104374499261760. Its totient is φ = 7244331614208.

The previous prime is 28073236193279. The next prime is 28073236193281. The reversal of 28073236193280 is 8239163237082.

28073236193280 is a `hidden beast` number, since 2 + 8 + 0 + 73 + 236 + 19 + 328 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28073236193279) and next prime (28073236193281).

It is a super-2 number, since 2×28073236193280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28073236193281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 384564879324 + ... + 384564879396.

It is an arithmetic number, because the mean of its divisors is an integer number (77659597665).

Almost surely, 2^{28073236193280} is an apocalyptic number.

28073236193280 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 28073236193280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52187249630880).

28073236193280 is an abundant number, since it is smaller than the sum of its proper divisors (76301263068480).

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

28073236193280 is an frugal number, since it uses more digits than its factorization.

28073236193280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 28073236193280 in words is "twenty-eight trillion, seventy-three billion, two hundred thirty-six million, one hundred ninety-three thousand, two hundred eighty".