28350812160 has 832 divisors, whose sum is σ = 113232384000. Its totient is φ = 6670909440.

The previous prime is 28350812141. The next prime is 28350812183. The reversal of 28350812160 is 6121805382.

It is a happy number.

28350812160 is a `hidden beast` number, since 2 + 83 + 508 + 12 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 358871001 + ... + 358871079.

Almost surely, 2^28350812160 is an apocalyptic number.

28350812160 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 28350812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56616192000).

28350812160 is an abundant number, since it is smaller than the sum of its proper divisors (84881571840).

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

28350812160 is a wasteful number, since it uses less digits than its factorization.

28350812160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 28350812160 in words is "twenty-eight billion, three hundred fifty million, eight hundred twelve thousand, one hundred sixty".