28055608701120 has 6048 divisors, whose sum is σ = 143187284717568. Its totient is φ = 5173217280000.

The previous prime is 28055608701097. The next prime is 28055608701139. The reversal of 28055608701120 is 2110780655082.

28055608701120 is a `hidden beast` number, since 2 + 8 + 0 + 5 + 5 + 608 + 7 + 0 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 185798733045 + ... + 185798733195.

Almost surely, 2^{28055608701120} is an apocalyptic number.

28055608701120 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 28055608701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71593642358784).

28055608701120 is an abundant number, since it is smaller than the sum of its proper divisors (115131676016448).

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

28055608701120 is a wasteful number, since it uses less digits than its factorization.

28055608701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 28055608701120 in words is "twenty-eight trillion, fifty-five billion, six hundred eight million, seven hundred one thousand, one hundred twenty".