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28072 = 2311229
BaseRepresentation
bin110110110101000
31102111201
412312220
51344242
6333544
7144562
oct66650
942451
1028072
111a100
12142b4
13ca15
14a332
1584b7
hex6da8

28072 has 24 divisors (see below), whose sum is σ = 59850. Its totient is φ = 12320.

The previous prime is 28069. The next prime is 28081. The reversal of 28072 is 27082.

It can be written as a sum of positive squares in only one way, i.e., 23716 + 4356 = 154^2 + 66^2 .

It is a nialpdrome in base 8 and base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 954 + ... + 982.

228072 is an apocalyptic number.

28072 is a gapful number since it is divisible by the number (22) 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 28072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29925).

28072 is an abundant number, since it is smaller than the sum of its proper divisors (31778).

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

28072 is a wasteful number, since it uses less digits than its factorization.

28072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 28072 is about 167.5470083290. The cubic root of 28072 is about 30.3918953464.

Subtracting from 28072 its reverse (27082), we obtain a triangular number (990 = T44).

It can be divided in two parts, 2807 and 2, that added together give a square (2809 = 532).

The spelling of 28072 in words is "twenty-eight thousand, seventy-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 121 232 242 319 484 638 968 1276 2552 3509 7018 14036 28072