28549195555104 has 960 divisors, whose sum is σ = 98738755315200. Its totient is φ = 7924463124480.

The previous prime is 28549195555073. The next prime is 28549195555129. The reversal of 28549195555104 is 40155559194582.

28549195555104 is a `hidden beast` number, since 2 + 8 + 5 + 491 + 95 + 5 + 5 + 51 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 38424219757 + ... + 38424220499.

It is an arithmetic number, because the mean of its divisors is an integer number (102852870120).

Almost surely, 2^{28549195555104} is an apocalyptic number.

28549195555104 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 28549195555104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49369377657600).

28549195555104 is an abundant number, since it is smaller than the sum of its proper divisors (70189559760096).

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

28549195555104 is a wasteful number, since it uses less digits than its factorization.

28549195555104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 64800000, while the sum is 63.

The spelling of 28549195555104 in words is "twenty-eight trillion, five hundred forty-nine billion, one hundred ninety-five million, five hundred fifty-five thousand, one hundred four".