8928000 has 216 divisors, whose sum is σ = 33161856. Its totient is φ = 2304000.

The previous prime is 8927981. The next prime is 8928001. The reversal of 8928000 is 8298.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (8928001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287985 + ... + 288015.

Almost surely, 2^8928000 is an apocalyptic number.

8928000 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 8928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16580928).

8928000 is an abundant number, since it is smaller than the sum of its proper divisors (24233856).

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

8928000 is a wasteful number, since it uses less digits than its factorization.

8928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8928000 is about 2987.9759035173. The cubic root of 8928000 is about 207.4522075056.

8928000 divided by its product of nonzero digits (1152) gives a triangular number (7750 = T₁₂₄).

The spelling of 8928000 in words is "eight million, nine hundred twenty-eight thousand".