28793082839040 has 1536 divisors, whose sum is σ = 114138545169600. Its totient is φ = 6845733273600.

The previous prime is 28793082839033. The next prime is 28793082839047. The reversal of 28793082839040 is 4093828039782.

28793082839040 is a `hidden beast` number, since 2 + 8 + 7 + 9 + 308 + 283 + 9 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (28793082839033) and next prime (28793082839047).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28793082839047) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 55265033980 + ... + 55265034500.

Almost surely, 2^{28793082839040} is an apocalyptic number.

28793082839040 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 28793082839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57069272584800).

28793082839040 is an abundant number, since it is smaller than the sum of its proper divisors (85345462330560).

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

28793082839040 is an equidigital number, since it uses as much as digits as its factorization.

28793082839040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 28793082839040 in words is "twenty-eight trillion, seven hundred ninety-three billion, eighty-two million, eight hundred thirty-nine thousand, forty".