28879287644160 has 1456 divisors, whose sum is σ = 111402166515264. Its totient is φ = 7164068364288.

The previous prime is 28879287644149. The next prime is 28879287644167. The reversal of 28879287644160 is 6144678297882.

28879287644160 is a `hidden beast` number, since 2 + 8 + 8 + 79 + 2 + 87 + 64 + 416 + 0 = 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 (28879287644167) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12705360784 + ... + 12705363056.

Almost surely, 2^{28879287644160} is an apocalyptic number.

28879287644160 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 28879287644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55701083257632).

28879287644160 is an abundant number, since it is smaller than the sum of its proper divisors (82522878871104).

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

28879287644160 is an equidigital number, since it uses as much as digits as its factorization.

28879287644160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 28879287644160 in words is "twenty-eight trillion, eight hundred seventy-nine billion, two hundred eighty-seven million, six hundred forty-four thousand, one hundred sixty".