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28896660 = 223251353233
BaseRepresentation
bin110111000111…
…0110110010100
32000101002202200
41232032312110
524344143120
62511204500
7500421552
oct156166624
960332680
1028896660
1115347541
129816730
135ca9a20
143ba2bd2
15280be90
hex1b8ed94

28896660 has 144 divisors (see below), whose sum is σ = 96589584. Its totient is φ = 6948864.

The previous prime is 28896653. The next prime is 28896689. The reversal of 28896660 is 6669882.

It can be written as a sum of positive squares in 8 ways, for example, as 2702736 + 26193924 = 1644^2 + 5118^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123904 + ... + 124136.

It is an arithmetic number, because the mean of its divisors is an integer number (670761).

Almost surely, 228896660 is an apocalyptic number.

28896660 is a gapful number since it is divisible by the number (20) 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 28896660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48294792).

28896660 is an abundant number, since it is smaller than the sum of its proper divisors (67692924).

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

28896660 is a wasteful number, since it uses less digits than its factorization.

28896660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 28896660 is about 5375.5613660342. The cubic root of 28896660 is about 306.8663134965.

The spelling of 28896660 in words is "twenty-eight million, eight hundred ninety-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 53 60 65 78 90 106 117 130 156 159 180 195 212 233 234 260 265 318 390 466 468 477 530 585 636 689 699 780 795 932 954 1060 1165 1170 1378 1398 1590 1908 2067 2097 2330 2340 2385 2756 2796 3029 3180 3445 3495 4134 4194 4660 4770 6058 6201 6890 6990 8268 8388 9087 9540 10335 10485 12116 12349 12402 13780 13980 15145 18174 20670 20970 24698 24804 27261 30290 31005 36348 37047 41340 41940 45435 49396 54522 60580 61745 62010 74094 90870 109044 111141 123490 124020 136305 148188 160537 181740 185235 222282 246980 272610 321074 370470 444564 481611 545220 555705 642148 740940 802685 963222 1111410 1444833 1605370 1926444 2222820 2408055 2889666 3210740 4816110 5779332 7224165 9632220 14448330 28896660