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28200690 = 2335743347
BaseRepresentation
bin110101110010…
…0111011110010
31222001202002000
41223210323302
524204410230
62444234430
7461462520
oct153447362
958052060
1028200690
1114a11661
12953ba16
135ac4ccb
143a61310
152720b60
hex1ae4ef2

28200690 has 128 divisors (see below), whose sum is σ = 88197120. Its totient is φ = 6277824.

The previous prime is 28200677. The next prime is 28200721. The reversal of 28200690 is 9600282.

It is a super-2 number, since 2×282006902 = 1590557832952200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81097 + ... + 81443.

It is an arithmetic number, because the mean of its divisors is an integer number (689040).

Almost surely, 228200690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28200690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44098560).

28200690 is an abundant number, since it is smaller than the sum of its proper divisors (59996430).

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

28200690 is a wasteful number, since it uses less digits than its factorization.

28200690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 28200690 is about 5310.4321858018. The cubic root of 28200690 is about 304.3826624513.

The spelling of 28200690 in words is "twenty-eight million, two hundred thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 43 45 54 63 70 86 90 105 126 129 135 189 210 215 258 270 301 315 347 378 387 430 602 630 645 694 774 903 945 1041 1161 1290 1505 1735 1806 1890 1935 2082 2322 2429 2709 3010 3123 3470 3870 4515 4858 5205 5418 5805 6246 7287 8127 9030 9369 10410 11610 12145 13545 14574 14921 15615 16254 18738 21861 24290 27090 29842 31230 36435 40635 43722 44763 46845 65583 72870 74605 81270 89526 93690 104447 109305 131166 134289 149210 208894 218610 223815 268578 313341 327915 402867 447630 522235 626682 655830 671445 805734 940023 1044470 1342890 1566705 1880046 2014335 2820069 3133410 4028670 4700115 5640138 9400230 14100345 28200690