8354828160 has 768 divisors, whose sum is σ = 36073728000. Its totient is φ = 1789820928.

The previous prime is 8354828159. The next prime is 8354828161. The reversal of 8354828160 is 618284538.

8354828160 is a `hidden beast` number, since 8 + 3 + 5 + 482 + 8 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (8354828159) and next prime (8354828161).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8354828161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34957321 + ... + 34957559.

It is an arithmetic number, because the mean of its divisors is an integer number (46971000).

Almost surely, 2^8354828160 is an apocalyptic number.

8354828160 is a gapful number since it is divisible by the number (80) 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 8354828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18036864000).

8354828160 is an abundant number, since it is smaller than the sum of its proper divisors (27718899840).

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

8354828160 is a wasteful number, since it uses less digits than its factorization.

8354828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 8354828160 is about 91404.7491107546. The cubic root of 8354828160 is about 2029.1423136264.

The spelling of 8354828160 in words is "eight billion, three hundred fifty-four million, eight hundred twenty-eight thousand, one hundred sixty".