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28717128 = 233211101359
BaseRepresentation
bin110110110001…
…1000001001000
32000000222111100
41231203001020
524322422003
62503301400
7466043256
oct155430110
960028440
1028717128
1115234670
12974a860
135c460ab
143b575d6
1527c3ba3
hex1b63048

28717128 has 96 divisors (see below), whose sum is σ = 85924800. Its totient is φ = 8592000.

The previous prime is 28717127. The next prime is 28717159. The reversal of 28717128 is 82171782.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 28717092 and 28717101.

It is not an unprimeable number, because it can be changed into a prime (28717123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79813 + ... + 80171.

It is an arithmetic number, because the mean of its divisors is an integer number (895050).

Almost surely, 228717128 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 28717128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42962400).

28717128 is an abundant number, since it is smaller than the sum of its proper divisors (57207672).

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

28717128 is a wasteful number, since it uses less digits than its factorization.

28717128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 476 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 28717128 is about 5358.8364408703. The cubic root of 28717128 is about 306.2294831181.

It can be divided in two parts, 2871 and 7128, that added together give a palindrome (9999).

The spelling of 28717128 in words is "twenty-eight million, seven hundred seventeen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 101 132 198 202 264 303 359 396 404 606 718 792 808 909 1077 1111 1212 1436 1818 2154 2222 2424 2872 3231 3333 3636 3949 4308 4444 6462 6666 7272 7898 8616 8888 9999 11847 12924 13332 15796 19998 23694 25848 26664 31592 35541 36259 39996 47388 71082 72518 79992 94776 108777 142164 145036 217554 284328 290072 326331 398849 435108 652662 797698 870216 1196547 1305324 1595396 2393094 2610648 3190792 3589641 4786188 7179282 9572376 14358564 28717128