28977108189120 has 2016 divisors, whose sum is σ = 128639071282176. Its totient is φ = 5930562355200.

The previous prime is 28977108189091. The next prime is 28977108189149. The reversal of 28977108189120 is 2198180177982.

28977108189120 is a `hidden beast` number, since 289 + 77 + 10 + 81 + 89 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (28977108189091) and next prime (28977108189149).

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14366438352 + ... + 14366440368.

It is an arithmetic number, because the mean of its divisors is an integer number (63809063136).

Almost surely, 2^{28977108189120} is an apocalyptic number.

28977108189120 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 28977108189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64319535641088).

28977108189120 is an abundant number, since it is smaller than the sum of its proper divisors (99661963093056).

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

28977108189120 is a wasteful number, since it uses less digits than its factorization.

28977108189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 63.

The spelling of 28977108189120 in words is "twenty-eight trillion, nine hundred seventy-seven billion, one hundred eight million, one hundred eighty-nine thousand, one hundred twenty".