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28687560 = 233511103211
BaseRepresentation
bin110110101101…
…1110011001000
31222222110221020
41231123303020
524321000220
62502512440
7465561126
oct155336310
958873836
1028687560
1115214430
129735720
135c357b5
143b4a916
1527ba040
hex1b5bcc8

28687560 has 128 divisors (see below), whose sum is σ = 95247360. Its totient is φ = 6854400.

The previous prime is 28687553. The next prime is 28687567. The reversal of 28687560 is 6578682.

It is an interprime number because it is at equal distance from previous prime (28687553) and next prime (28687567).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28687567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135855 + ... + 136065.

It is an arithmetic number, because the mean of its divisors is an integer number (744120).

Almost surely, 228687560 is an apocalyptic number.

28687560 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 28687560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47623680).

28687560 is an abundant number, since it is smaller than the sum of its proper divisors (66559800).

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

28687560 is a wasteful number, since it uses less digits than its factorization.

28687560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 28687560 is about 5356.0769225245. The cubic root of 28687560 is about 306.1243460635.

The spelling of 28687560 in words is "twenty-eight million, six hundred eighty-seven thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 103 110 120 132 165 206 211 220 264 309 330 412 422 440 515 618 633 660 824 844 1030 1055 1133 1236 1266 1320 1545 1688 2060 2110 2266 2321 2472 2532 3090 3165 3399 4120 4220 4532 4642 5064 5665 6180 6330 6798 6963 8440 9064 9284 11330 11605 12360 12660 13596 13926 16995 18568 21733 22660 23210 25320 27192 27852 33990 34815 43466 45320 46420 55704 65199 67980 69630 86932 92840 108665 130398 135960 139260 173864 217330 239063 260796 278520 325995 434660 478126 521592 651990 717189 869320 956252 1195315 1303980 1434378 1912504 2390630 2607960 2868756 3585945 4781260 5737512 7171890 9562520 14343780 28687560