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28718208 = 273297257
BaseRepresentation
bin110110110001…
…1010010000000
32000001000222100
41231203102000
524322440313
62503310400
7466046361
oct155432200
960030870
1028718208
1115235462
12974b400
135c4672c
143b57b68
1527c4173
hex1b63480

28718208 has 96 divisors (see below), whose sum is σ = 83816460. Its totient is φ = 9437184.

The previous prime is 28718201. The next prime is 28718227. The reversal of 28718208 is 80281782.

It can be written as a sum of positive squares in 2 ways, for example, as 26132544 + 2585664 = 5112^2 + 1608^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28718201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111616 + ... + 111872.

Almost surely, 228718208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28718208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41908230).

28718208 is an abundant number, since it is smaller than the sum of its proper divisors (55098252).

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

28718208 is a wasteful number, since it uses less digits than its factorization.

28718208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 28718208 is about 5358.9372080665. The cubic root of 28718208 is about 306.2333219850.

The spelling of 28718208 in words is "twenty-eight million, seven hundred eighteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 257 288 291 384 388 514 576 582 771 776 873 1028 1152 1164 1542 1552 1746 2056 2313 2328 3084 3104 3492 4112 4626 4656 6168 6208 6984 8224 9252 9312 12336 12416 13968 16448 18504 18624 24672 24929 27936 32896 37008 37248 49344 49858 55872 74016 74787 98688 99716 111744 148032 149574 199432 224361 296064 299148 398864 448722 598296 797728 897444 1196592 1595456 1794888 2393184 3190912 3589776 4786368 7179552 9572736 14359104 28718208