28778745905280 has 1536 divisors, whose sum is σ = 122174754624000. Its totient is φ = 6095739027456.

The previous prime is 28778745905279. The next prime is 28778745905323. The reversal of 28778745905280 is 8250954787782.

28778745905280 is a `hidden beast` number, since 2 + 8 + 7 + 7 + 8 + 7 + 4 + 5 + 90 + 528 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 28778745905199 and 28778745905208.

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 191 ways as a sum of consecutive naturals, for example, 16606315294 + ... + 16606317026.

It is an arithmetic number, because the mean of its divisors is an integer number (79540855875).

Almost surely, 2^{28778745905280} is an apocalyptic number.

28778745905280 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 28778745905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61087377312000).

28778745905280 is an abundant number, since it is smaller than the sum of its proper divisors (93396008718720).

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

28778745905280 is a wasteful number, since it uses less digits than its factorization.

28778745905280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 632217600, while the sum is 72.

The spelling of 28778745905280 in words is "twenty-eight trillion, seven hundred seventy-eight billion, seven hundred forty-five million, nine hundred five thousand, two hundred eighty".