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28688544 = 2532236171
BaseRepresentation
bin110110101110…
…0000010100000
31222222112021200
41231130002200
524321013134
62502521200
7465564033
oct155340240
958875250
1028688544
1115215145
129736200
135c36091
143b4b01a
1527ba499
hex1b5c0a0

28688544 has 144 divisors (see below), whose sum is σ = 87744384. Its totient is φ = 8870400.

The previous prime is 28688533. The next prime is 28688557. The reversal of 28688544 is 44588682.

28688544 is a `hidden beast` number, since 28 + 6 + 88 + 544 = 666.

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

Its product of digits (491520) is a multiple of the sum of its prime divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 28688544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404029 + ... + 404099.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 228688544 is an apocalyptic number.

28688544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28688544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43872192).

28688544 is an abundant number, since it is smaller than the sum of its proper divisors (59055840).

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

28688544 is a wasteful number, since it uses less digits than its factorization.

28688544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 28688544 is about 5356.1687800143. The cubic root of 28688544 is about 306.1278461046.

The spelling of 28688544 in words is "twenty-eight million, six hundred eighty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 61 69 71 72 92 96 122 138 142 144 183 184 207 213 244 276 284 288 366 368 414 426 488 549 552 568 639 732 736 828 852 976 1098 1104 1136 1278 1403 1464 1633 1656 1704 1952 2196 2208 2272 2556 2806 2928 3266 3312 3408 4209 4331 4392 4899 5112 5612 5856 6532 6624 6816 8418 8662 8784 9798 10224 11224 12627 12993 13064 14697 16836 17324 17568 19596 20448 22448 25254 25986 26128 29394 33672 34648 38979 39192 44896 50508 51972 52256 58788 67344 69296 77958 78384 99613 101016 103944 117576 134688 138592 155916 156768 199226 202032 207888 235152 298839 311832 398452 404064 415776 470304 597678 623664 796904 896517 1195356 1247328 1593808 1793034 2390712 3187616 3586068 4781424 7172136 9562848 14344272 28688544