28770020438544 has 480 divisors, whose sum is σ = 102762322790400. Its totient is φ = 7448660755200.

The previous prime is 28770020438519. The next prime is 28770020438563. The reversal of 28770020438544 is 44583402007782.

28770020438544 is a `hidden beast` number, since 2 + 8 + 7 + 70 + 0 + 20 + 4 + 3 + 8 + 544 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168884899 + ... + 169055165.

It is an arithmetic number, because the mean of its divisors is an integer number (214088172480).

Almost surely, 2^{28770020438544} is an apocalyptic number.

28770020438544 is a gapful number since it is divisible by the number (24) 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 28770020438544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51381161395200).

28770020438544 is an abundant number, since it is smaller than the sum of its proper divisors (73992302351856).

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

28770020438544 is a wasteful number, since it uses less digits than its factorization.

28770020438544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170624 (or 170601 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 28770020438544 in words is "twenty-eight trillion, seven hundred seventy billion, twenty million, four hundred thirty-eight thousand, five hundred forty-four".