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28881000 = 2332533209
BaseRepresentation
bin110111000101…
…1000001101000
32000100022021200
41232023001220
524343143000
62511004200
7500325111
oct156130150
960308250
1028881000
11153367a5
129809660
135ca2865
143b9b208
152807500
hex1b8b068

28881000 has 96 divisors (see below), whose sum is σ = 97648200. Its totient is φ = 7699200.

The previous prime is 28880989. The next prime is 28881001. The reversal of 28881000 is 18882.

28881000 = 112 + 122 + ... + 4422.

It can be written as a sum of positive squares in 4 ways, for example, as 9326916 + 19554084 = 3054^2 + 4422^2 .

It is a super-2 number, since 2×288810002 = 1668224322000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28881001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7396 + ... + 10604.

Almost surely, 228881000 is an apocalyptic number.

28881000 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 28881000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48824100).

28881000 is an abundant number, since it is smaller than the sum of its proper divisors (68767200).

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

28881000 is a wasteful number, since it uses less digits than its factorization.

28881000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 28881000 is about 5374.1045765783. The cubic root of 28881000 is about 306.8108700091.

Adding to 28881000 its reverse (18882), we get a palindrome (28899882).

The spelling of 28881000 in words is "twenty-eight million, eight hundred eighty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 3209 4500 6418 9000 9627 12836 16045 19254 25672 28881 32090 38508 48135 57762 64180 77016 80225 96270 115524 128360 144405 160450 192540 231048 240675 288810 320900 385080 401125 481350 577620 641800 722025 802250 962700 1155240 1203375 1444050 1604500 1925400 2406750 2888100 3209000 3610125 4813500 5776200 7220250 9627000 14440500 28881000