28188704194560 has 4320 divisors, whose sum is σ = 134529558307200. Its totient is φ = 5634480144384.

The previous prime is 28188704194537. The next prime is 28188704194561. The reversal of 28188704194560 is 6549140788182.

28188704194560 is a `hidden beast` number, since 2 + 81 + 8 + 87 + 0 + 419 + 4 + 5 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28188704194561) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1483616010231 + ... + 1483616010249.

It is an arithmetic number, because the mean of its divisors is an integer number (31141101460).

Almost surely, 2^{28188704194560} is an apocalyptic number.

28188704194560 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 28188704194560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67264779153600).

28188704194560 is an abundant number, since it is smaller than the sum of its proper divisors (106340854112640).

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

28188704194560 is an frugal number, since it uses more digits than its factorization.

28188704194560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 28188704194560 in words is "twenty-eight trillion, one hundred eighty-eight billion, seven hundred four million, one hundred ninety-four thousand, five hundred sixty".