28198316160 has 960 divisors, whose sum is σ = 124222970520. Its totient is φ = 6056902656.

The previous prime is 28198316137. The next prime is 28198316189. The reversal of 28198316160 is 6161389182.

28198316160 is a `hidden beast` number, since 28 + 1 + 9 + 8 + 3 + 1 + 616 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22709284416 + 5489031744 = 150696^2 + 74088^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 43182394 + ... + 43183046.

Almost surely, 2^28198316160 is an apocalyptic number.

28198316160 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 28198316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62111485260).

28198316160 is an abundant number, since it is smaller than the sum of its proper divisors (96024654360).

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

28198316160 is a wasteful number, since it uses less digits than its factorization.

28198316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 28198316160 in words is "twenty-eight billion, one hundred ninety-eight million, three hundred sixteen thousand, one hundred sixty".