Search a number
-
+
28655712 = 2532294773
BaseRepresentation
bin110110101010…
…0000001100000
31222220212020200
41231110001200
524313440322
62502105200
7465366231
oct155240140
958825220
1028655712
11151a2508
12971b200
135c24157
143b3d088
1527b08ac
hex1b54060

28655712 has 144 divisors (see below), whose sum is σ = 87272640. Its totient is φ = 8902656.

The previous prime is 28655681. The next prime is 28655713. The reversal of 28655712 is 21755682.

It is a happy number.

28655712 is a `hidden beast` number, since 2 + 86 + 5 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×286557122 = 1642299660453888, which contains 22 as substring.

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 (28655713) 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, 392508 + ... + 392580.

It is an arithmetic number, because the mean of its divisors is an integer number (606060).

Almost surely, 228655712 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 28655712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43636320).

28655712 is an abundant number, since it is smaller than the sum of its proper divisors (58616928).

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

28655712 is a wasteful number, since it uses less digits than its factorization.

28655712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 28655712 is about 5353.1030253489. The cubic root of 28655712 is about 306.0110210051.

The spelling of 28655712 in words is "twenty-eight million, six hundred fifty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 47 48 58 72 73 87 94 96 116 141 144 146 174 188 219 232 261 282 288 292 348 376 423 438 464 522 564 584 657 696 752 846 876 928 1044 1128 1168 1314 1363 1392 1504 1692 1752 2088 2117 2256 2336 2628 2726 2784 3384 3431 3504 4089 4176 4234 4512 5256 5452 6351 6768 6862 7008 8178 8352 8468 10293 10512 10904 12267 12702 13536 13724 16356 16936 19053 20586 21024 21808 24534 25404 27448 30879 32712 33872 38106 41172 43616 49068 50808 54896 61758 65424 67744 76212 82344 98136 99499 101616 109792 123516 130848 152424 164688 196272 198998 203232 247032 298497 304848 329376 392544 397996 494064 596994 609696 795992 895491 988128 1193988 1591984 1790982 2387976 3183968 3581964 4775952 7163928 9551904 14327856 28655712