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28718900 = 2252725861
BaseRepresentation
bin110110110001…
…1011100110100
32000001001220222
41231203130310
524323001100
62503313512
7466051400
oct155433464
960031828
1028718900
1115235a31
12974b898
135c46b42
143b58100
1527c4485
hex1b63734

28718900 has 54 divisors (see below), whose sum is σ = 72507078. Its totient is φ = 9844800.

The previous prime is 28718897. The next prime is 28718909. The reversal of 28718900 is 981782.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1449616 + 27269284 = 1204^2 + 5222^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28718909) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1970 + ... + 7830.

Almost surely, 228718900 is an apocalyptic number.

28718900 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 28718900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36253539).

28718900 is an abundant number, since it is smaller than the sum of its proper divisors (43788178).

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

28718900 is a wasteful number, since it uses less digits than its factorization.

28718900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889 (or 5875 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The square root of 28718900 is about 5359.0017727185. The cubic root of 28718900 is about 306.2357816528.

The spelling of 28718900 in words is "twenty-eight million, seven hundred eighteen thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 5861 11722 23444 29305 41027 58610 82054 117220 146525 164108 205135 287189 293050 410270 574378 586100 820540 1025675 1148756 1435945 2051350 2871890 4102700 5743780 7179725 14359450 28718900