28760563795392 has 2240 divisors, whose sum is σ = 109710053376000. Its totient is φ = 7316407296000.

The previous prime is 28760563795391. The next prime is 28760563795421. The reversal of 28760563795392 is 29359736506782.

28760563795392 is a `hidden beast` number, since 2 + 8 + 7 + 6 + 0 + 56 + 37 + 9 + 539 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28760563795392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28760563795391) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 86889920667 + ... + 86889920997.

It is an arithmetic number, because the mean of its divisors is an integer number (48977702400).

Almost surely, 2^{28760563795392} is an apocalyptic number.

28760563795392 is a gapful number since it is divisible by the number (22) 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 28760563795392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54855026688000).

28760563795392 is an abundant number, since it is smaller than the sum of its proper divisors (80949489580608).

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

28760563795392 is a wasteful number, since it uses less digits than its factorization.

28760563795392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1028764800, while the sum is 72.

The spelling of 28760563795392 in words is "twenty-eight trillion, seven hundred sixty billion, five hundred sixty-three million, seven hundred ninety-five thousand, three hundred ninety-two".