Search a number
-
+
28357128 = 233529503
BaseRepresentation
bin110110000101…
…1001000001000
31222100200200000
41230023020020
524224412003
62451443000
7463013562
oct154131010
958320600
1028357128
1115009148
1295b6460
135b4b287
143aa2332
1527521a3
hex1b0b208

28357128 has 96 divisors (see below), whose sum is σ = 82555200. Its totient is φ = 9108288.

The previous prime is 28357127. The next prime is 28357141. The reversal of 28357128 is 82175382.

28357128 is a `hidden beast` number, since 2 + 83 + 571 + 2 + 8 = 666.

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 = 28357092 and 28357101.

It is not an unprimeable number, because it can be changed into a prime (28357127) 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, 56125 + ... + 56627.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 228357128 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 28357128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41277600).

28357128 is an abundant number, since it is smaller than the sum of its proper divisors (54198072).

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

28357128 is a wasteful number, since it uses less digits than its factorization.

28357128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 537 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 28357128 is about 5325.1411248905. The cubic root of 28357128 is about 304.9444600114.

The spelling of 28357128 in words is "twenty-eight million, three hundred fifty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 243 261 324 348 486 503 522 648 696 783 972 1006 1044 1509 1566 1944 2012 2088 2349 3018 3132 4024 4527 4698 6036 6264 7047 9054 9396 12072 13581 14094 14587 18108 18792 27162 28188 29174 36216 40743 43761 54324 56376 58348 81486 87522 108648 116696 122229 131283 162972 175044 244458 262566 325944 350088 393849 488916 525132 787698 977832 1050264 1181547 1575396 2363094 3150792 3544641 4726188 7089282 9452376 14178564 28357128