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28280560 = 2457114591
BaseRepresentation
bin110101111100…
…0011011110000
31222012210122011
41223320123300
524214434220
62450052304
7462244420
oct153703360
958183564
1028280560
1114a66670
12957a094
135b22479
143a82480
15273965a
hex1af86f0

28280560 has 80 divisors (see below), whose sum is σ = 81994752. Its totient is φ = 8812800.

The previous prime is 28280491. The next prime is 28280563. The reversal of 28280560 is 6508282.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28280563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3865 + ... + 8455.

Almost surely, 228280560 is an apocalyptic number.

28280560 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 28280560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40997376).

28280560 is an abundant number, since it is smaller than the sum of its proper divisors (53714192).

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

28280560 is a wasteful number, since it uses less digits than its factorization.

28280560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4622 (or 4616 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 28280560 is about 5317.9469722817. The cubic root of 28280560 is about 304.6697491390.

The spelling of 28280560 in words is "twenty-eight million, two hundred eighty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 4591 6160 9182 18364 22955 32137 36728 45910 50501 64274 73456 91820 101002 128548 160685 183640 202004 252505 257096 321370 353507 367280 404008 505010 514192 642740 707014 808016 1010020 1285480 1414028 1767535 2020040 2570960 2828056 3535070 4040080 5656112 7070140 14140280 28280560