8185363728 has 160 divisors (see below), whose sum is σ = 23023097856. Its totient is φ = 2495883264.

The previous prime is 8185363699. The next prime is 8185363733. The reversal of 8185363728 is 8273635818.

It is a Cunningham number, because it is equal to 90473²-1.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9227701 + ... + 9228587.

Almost surely, 2^8185363728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8185363728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11511548928).

8185363728 is an abundant number, since it is smaller than the sum of its proper divisors (14837734128).

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

8185363728 is a wasteful number, since it uses less digits than its factorization.

8185363728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1215 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 8185363728 is about 90472.9999944735. Note that the first 5 decimals coincide. The cubic root of 8185363728 is about 2015.3291851979.

The spelling of 8185363728 in words is "eight billion, one hundred eighty-five million, three hundred sixty-three thousand, seven hundred twenty-eight".