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928 = 2529
BaseRepresentation
bin1110100000
31021101
432200
512203
64144
72464
oct1640
91241
10928
11774
12654
13565
144a4
1541d
hex3a0

928 has 12 divisors (see below), whose sum is σ = 1890. Its totient is φ = 448.

The previous prime is 919. The next prime is 929. The reversal of 928 is 829.

Subtracting from 928 its sum of digits (19), we obtain a palindrome (909).

Subtracting from 928 its product of digits (144), we obtain a square (784 = 282).

Subtracting from 928 its reverse (829), we obtain a palindrome (99).

It can be divided in two parts, 92 and 8, that added together give a square (100 = 102).

928 is nontrivially palindromic in base 13 and base 14.

928 is an esthetic number in base 12 and base 13, because in such bases its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 784 + 144 = 28^2 + 12^2 .

It is a super-2 number, since 2×9282 = 1722368, which contains 22 as substring.

928 is an undulating number in base 13 and base 14.

It is a nialpdrome in base 4, base 11 and base 12.

It is not an unprimeable number, because it can be changed into a prime (929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18 + ... + 46.

2928 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 928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945).

928 is an abundant number, since it is smaller than the sum of its proper divisors (962).

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

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

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

The sum of its prime factors is 39 (or 31 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 928 is about 30.4630924235. The cubic root of 928 is about 9.7539979221.

The spelling of 928 in words is "nine hundred twenty-eight", and thus it is an aban number and an oban number.

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928