28144217617560 has 320 divisors, whose sum is σ = 103204148937120. Its totient is φ = 6822266480640.

The previous prime is 28144217617547. The next prime is 28144217617561. The reversal of 28144217617560 is 6571671244182.

It is a happy number.

28144217617560 is a `hidden beast` number, since 2 + 8 + 1 + 4 + 4 + 2 + 1 + 76 + 1 + 7 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28144217617497 and 28144217617506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28144217617561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 552287602 + ... + 552338558.

Almost surely, 2^{28144217617560} is an apocalyptic number.

28144217617560 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 28144217617560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51602074468560).

28144217617560 is an abundant number, since it is smaller than the sum of its proper divisors (75059931319560).

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

28144217617560 is a wasteful number, since it uses less digits than its factorization.

28144217617560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66488 (or 66475 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 28144217617560 in words is "twenty-eight trillion, one hundred forty-four billion, two hundred seventeen million, six hundred seventeen thousand, five hundred sixty".