28574773418880 has 2304 divisors, whose sum is σ = 121164691415040. Its totient is φ = 6403382968320.

The previous prime is 28574773418869. The next prime is 28574773418923. The reversal of 28574773418880 is 8881437747582.

28574773418880 is a `hidden beast` number, since 2 + 8 + 574 + 7 + 7 + 3 + 41 + 8 + 8 + 8 + 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 = 28574773418799 and 28574773418808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13851076729 + ... + 13851078791.

It is an arithmetic number, because the mean of its divisors is an integer number (52588841760).

Almost surely, 2^{28574773418880} is an apocalyptic number.

28574773418880 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 28574773418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60582345707520).

28574773418880 is an abundant number, since it is smaller than the sum of its proper divisors (92589917996160).

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

28574773418880 is a wasteful number, since it uses less digits than its factorization.

28574773418880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 674365440, while the sum is 72.

The spelling of 28574773418880 in words is "twenty-eight trillion, five hundred seventy-four billion, seven hundred seventy-three million, four hundred eighteen thousand, eight hundred eighty".