28855684325160 has 3456 divisors, whose sum is σ = 133057903305600. Its totient is φ = 5602594314240.

The previous prime is 28855684325159. The next prime is 28855684325197. The reversal of 28855684325160 is 6152348655882.

28855684325160 is a `hidden beast` number, since 2 + 8 + 8 + 5 + 5 + 6 + 84 + 32 + 516 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 395283346884 + ... + 395283346956.

It is an arithmetic number, because the mean of its divisors is an integer number (38500550725).

Almost surely, 2^{28855684325160} is an apocalyptic number.

28855684325160 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 28855684325160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66528951652800).

28855684325160 is an abundant number, since it is smaller than the sum of its proper divisors (104202218980440).

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

28855684325160 is a wasteful number, since it uses less digits than its factorization.

28855684325160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 28855684325160 in words is "twenty-eight trillion, eight hundred fifty-five billion, six hundred eighty-four million, three hundred twenty-five thousand, one hundred sixty".