8928192 has 168 divisors, whose sum is σ = 29998416. Its totient is φ = 2322432.

The previous prime is 8928191. The next prime is 8928193. The reversal of 8928192 is 2918298.

It is an interprime number because it is at equal distance from previous prime (8928191) and next prime (8928193).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×8928192² = 159425224777728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 8928192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8928191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122268 + ... + 122340.

It is an arithmetic number, because the mean of its divisors is an integer number (178562).

Almost surely, 2^8928192 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 8928192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999208).

8928192 is an abundant number, since it is smaller than the sum of its proper divisors (21070224).

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

8928192 is a wasteful number, since it uses less digits than its factorization.

8928192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 98 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The square root of 8928192 is about 2988.0080321177. The cubic root of 8928192 is about 207.4536946076.

The spelling of 8928192 in words is "eight million, nine hundred twenty-eight thousand, one hundred ninety-two".