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28714680 = 2332531283
BaseRepresentation
bin110110110001…
…0011010111000
32000000212010200
41231202122320
524322332210
62503242200
7466033161
oct155423270
960025120
1028714680
1115232845
129749360
135c44c47
143b56768
1527c30c0
hex1b626b8

28714680 has 144 divisors (see below), whose sum is σ = 97592040. Its totient is φ = 7320960.

The previous prime is 28714667. The next prime is 28714691. The reversal of 28714680 is 8641782.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 345919 + ... + 346001.

Almost surely, 228714680 is an apocalyptic number.

28714680 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 28714680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48796020).

28714680 is an abundant number, since it is smaller than the sum of its proper divisors (68877360).

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

28714680 is a wasteful number, since it uses less digits than its factorization.

28714680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 28714680 is about 5358.6080282103. The cubic root of 28714680 is about 306.2207813301.

The spelling of 28714680 in words is "twenty-eight million, seven hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 83 90 93 120 124 155 166 180 186 248 249 279 310 332 360 372 415 465 498 558 620 664 744 747 830 930 961 996 1116 1240 1245 1395 1494 1660 1860 1922 1992 2232 2490 2573 2790 2883 2988 3320 3720 3735 3844 4805 4980 5146 5580 5766 5976 7470 7688 7719 8649 9610 9960 10292 11160 11532 12865 14415 14940 15438 17298 19220 20584 23064 23157 25730 28830 29880 30876 34596 38440 38595 43245 46314 51460 57660 61752 69192 77190 79763 86490 92628 102920 115320 115785 154380 159526 172980 185256 231570 239289 308760 319052 345960 398815 463140 478578 638104 717867 797630 926280 957156 1196445 1435734 1595260 1914312 2392890 2871468 3190520 3589335 4785780 5742936 7178670 9571560 14357340 28714680