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28756 = 2271379
BaseRepresentation
bin111000001010100
31110110001
413001110
51410011
6341044
7146560
oct70124
943401
1028756
111a672
1214784
1310120
14a6a0
1587c1
hex7054

28756 has 24 divisors (see below), whose sum is σ = 62720. Its totient is φ = 11232.

The previous prime is 28753. The next prime is 28759. The reversal of 28756 is 65782.

It is an interprime number because it is at equal distance from previous prime (28753) and next prime (28759).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

28756 is a modest number, since divided by 756 gives 28 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28751) 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, 325 + ... + 403.

228756 is an apocalyptic number.

28756 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

28756 is the 91-st nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31360).

28756 is an abundant number, since it is smaller than the sum of its proper divisors (33964).

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

28756 is a wasteful number, since it uses less digits than its factorization.

28756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 101 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 28756 is about 169.5759416899. The cubic root of 28756 is about 30.6367593325.

It can be divided in two parts, 287 and 56, that added together give a palindrome (343).

The spelling of 28756 in words is "twenty-eight thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 52 79 91 158 182 316 364 553 1027 1106 2054 2212 4108 7189 14378 28756