28552189645584 has 1600 divisors, whose sum is σ = 101096980807680. Its totient is φ = 7693928985600.

The previous prime is 28552189645571. The next prime is 28552189645649. The reversal of 28552189645584 is 48554698125582.

28552189645584 is a `hidden beast` number, since 2 + 8 + 5 + 5 + 2 + 1 + 8 + 9 + 64 + 558 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 361420122057 + ... + 361420122135.

Almost surely, 2^{28552189645584} is an apocalyptic number.

28552189645584 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 28552189645584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50548490403840).

28552189645584 is an abundant number, since it is smaller than the sum of its proper divisors (72544791162096).

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

28552189645584 is a wasteful number, since it uses less digits than its factorization.

28552189645584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 186 counting only the distinct ones).

The product of its digits is 1105920000, while the sum is 72.

The spelling of 28552189645584 in words is "twenty-eight trillion, five hundred fifty-two billion, one hundred eighty-nine million, six hundred forty-five thousand, five hundred eighty-four".