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28001358 = 23271189227
BaseRepresentation
bin110101011010…
…0010001001110
31221200121122100
41222310101032
524132020413
62440055530
7460002420
oct152642116
957617570
1028001358
1114895920
1294645a6
135a55368
143a0c810
1526d1a73
hex1ab444e

28001358 has 96 divisors (see below), whose sum is σ = 76826880. Its totient is φ = 7159680.

The previous prime is 28001357. The next prime is 28001359. The reversal of 28001358 is 85310082.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28001357) and next prime (28001359).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28001353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123241 + ... + 123467.

It is an arithmetic number, because the mean of its divisors is an integer number (800280).

Almost surely, 228001358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28001358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38413440).

28001358 is an abundant number, since it is smaller than the sum of its proper divisors (48825522).

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

28001358 is a wasteful number, since it uses less digits than its factorization.

28001358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 28001358 is about 5291.6309395119. The cubic root of 28001358 is about 303.6638062604.

The spelling of 28001358 in words is "twenty-eight million, one thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 89 99 126 154 178 198 227 231 267 454 462 534 623 681 693 801 979 1246 1362 1386 1589 1602 1869 1958 2043 2497 2937 3178 3738 4086 4767 4994 5607 5874 6853 7491 8811 9534 11214 13706 14301 14982 17479 17622 20203 20559 22473 28602 34958 40406 41118 44946 52437 60609 61677 104874 121218 123354 141421 157311 181827 222233 282842 314622 363654 424263 444466 666699 848526 1272789 1333398 1555631 2000097 2545578 3111262 4000194 4666893 9333786 14000679 28001358