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BaseRepresentation
bin111000011010000
31110121122
413003100
51411010
6341412
7150125
oct70320
943548
1028880
111a775
1214868
13101b7
14a74c
158855
hex70d0

28880 has 30 divisors (see below), whose sum is σ = 70866. Its totient is φ = 10944.

The previous prime is 28879. The next prime is 28901. The reversal of 28880 is 8882.

It can be written as a sum of positive squares in only one way, i.e., 23104 + 5776 = 152^2 + 76^2 .

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28880.

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, 1511 + ... + 1529.

228880 is an apocalyptic number.

28880 is a gapful number since it is divisible by the number (20) 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 28880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35433).

28880 is an abundant number, since it is smaller than the sum of its proper divisors (41986).

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

28880 is a wasteful number, since it uses less digits than its factorization.

28880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 28880 is about 169.9411662900. The cubic root of 28880 is about 30.6807328876.

The spelling of 28880 in words is "twenty-eight thousand, eight hundred eighty".