8928160 has 48 divisors (see below), whose sum is σ = 21623112. Its totient is φ = 3481600.

The previous prime is 8928151. The next prime is 8928169. The reversal of 8928160 is 618298.

8928160 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (8928151) and next prime (8928169).

It can be written as a sum of positive squares in 4 ways, for example, as 3225616 + 5702544 = 1796^2 + 2388^2 .

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (8928169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5880 + ... + 7240.

Almost surely, 2^8928160 is an apocalyptic number.

8928160 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 8928160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10811556).

8928160 is an abundant number, since it is smaller than the sum of its proper divisors (12694952).

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

8928160 is a wasteful number, since it uses less digits than its factorization.

8928160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 8928160 is about 2988.0026773750. The cubic root of 8928160 is about 207.4534467587.

The spelling of 8928160 in words is "eight million, nine hundred twenty-eight thousand, one hundred sixty".