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8928 = 253231
BaseRepresentation
bin10001011100000
3110020200
42023200
5241203
6105200
735013
oct21340
913220
108928
116787
125200
1340aa
14337a
1529a3
hex22e0

8928 has 36 divisors (see below), whose sum is σ = 26208. Its totient is φ = 2880.

The previous prime is 8923. The next prime is 8929. The reversal of 8928 is 8298.

8928 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1152) is a multiple of the sum of its prime divisors (36).

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 273 + ... + 303.

It is an arithmetic number, because the mean of its divisors is an integer number (728).

28928 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 8928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13104).

8928 is an abundant number, since it is smaller than the sum of its proper divisors (17280).

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

8928 is a wasteful number, since it uses less digits than its factorization.

8928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 36 counting only the distinct ones).

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

The square root of 8928 is about 94.4880944881. The cubic root of 8928 is about 20.7452207506.

Subtracting from 8928 its product of digits (1152), we obtain a 5-th power (7776 = 65).

Subtracting from 8928 its reverse (8298), we obtain a triangular number (630 = T35).

It can be divided in two parts, 892 and 8, that added together give a square (900 = 302).

The spelling of 8928 in words is "eight thousand, nine hundred twenty-eight".