Search a number
-
+
28369656 = 2333729647
BaseRepresentation
bin110110000111…
…0001011111000
31222101022212000
41230032023320
524230312111
62452021000
7463065240
oct154161370
958338760
1028369656
11150175a7
129601760
135b53ba3
143aa6b20
152755c56
hex1b0e2f8

28369656 has 128 divisors (see below), whose sum is σ = 93312000. Its totient is φ = 7814016.

The previous prime is 28369597. The next prime is 28369657. The reversal of 28369656 is 65696382.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28369657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43525 + ... + 44171.

It is an arithmetic number, because the mean of its divisors is an integer number (729000).

Almost surely, 228369656 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 28369656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46656000).

28369656 is an abundant number, since it is smaller than the sum of its proper divisors (64942344).

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

28369656 is a wasteful number, since it uses less digits than its factorization.

28369656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 688 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 28369656 is about 5326.3173018513. The cubic root of 28369656 is about 304.9893609117.

The spelling of 28369656 in words is "twenty-eight million, three hundred sixty-nine thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 84 87 108 116 126 168 174 189 203 216 232 252 261 348 378 406 504 522 609 647 696 756 783 812 1044 1218 1294 1512 1566 1624 1827 1941 2088 2436 2588 3132 3654 3882 4529 4872 5176 5481 5823 6264 7308 7764 9058 10962 11646 13587 14616 15528 17469 18116 18763 21924 23292 27174 34938 36232 37526 40761 43848 46584 54348 56289 69876 75052 81522 108696 112578 122283 131341 139752 150104 163044 168867 225156 244566 262682 326088 337734 394023 450312 489132 506601 525364 675468 788046 978264 1013202 1050728 1182069 1350936 1576092 2026404 2364138 3152184 3546207 4052808 4728276 7092414 9456552 14184828 28369656