28089755578080 has 1296 divisors, whose sum is σ = 121483602624384. Its totient is φ = 5886215516160.

The previous prime is 28089755578043. The next prime is 28089755578081. The reversal of 28089755578080 is 8087555798082.

28089755578080 is a `hidden beast` number, since 280 + 89 + 75 + 5 + 57 + 80 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28089755578081) 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 215 ways as a sum of consecutive naturals, for example, 789619174 + ... + 789654746.

It is an arithmetic number, because the mean of its divisors is an integer number (93737347704).

Almost surely, 2^{28089755578080} is an apocalyptic number.

28089755578080 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 28089755578080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60741801312192).

28089755578080 is an abundant number, since it is smaller than the sum of its proper divisors (93393847046304).

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

28089755578080 is a wasteful number, since it uses less digits than its factorization.

28089755578080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35677 (or 35640 counting only the distinct ones).

The product of its (nonzero) digits is 451584000, while the sum is 72.

The spelling of 28089755578080 in words is "twenty-eight trillion, eighty-nine billion, seven hundred fifty-five million, five hundred seventy-eight thousand, eighty".