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28869360 = 24351319487
BaseRepresentation
bin110111000100…
…0001011110000
32000022201022120
41232020023300
524342304420
62510434240
7500246142
oct156101360
960281276
1028869360
1115328a83
129802980
135c9a480
143b96c92
152803d40
hex1b882f0

28869360 has 160 divisors (see below), whose sum is σ = 101660160. Its totient is φ = 6718464.

The previous prime is 28869331. The next prime is 28869367. The reversal of 28869360 is 6396882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28869367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59037 + ... + 59523.

It is an arithmetic number, because the mean of its divisors is an integer number (635376).

Almost surely, 228869360 is an apocalyptic number.

28869360 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 28869360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50830080).

28869360 is an abundant number, since it is smaller than the sum of its proper divisors (72790800).

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

28869360 is a wasteful number, since it uses less digits than its factorization.

28869360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 28869360 is about 5373.0214963277. The cubic root of 28869360 is about 306.7696461547.

It can be divided in two parts, 2886 and 9360, that added together give a triangular number (12246 = T156).

The spelling of 28869360 in words is "twenty-eight million, eight hundred sixty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 95 104 114 120 130 152 156 190 195 208 228 240 247 260 285 304 312 380 390 456 487 494 520 570 624 741 760 780 912 974 988 1040 1140 1235 1461 1482 1520 1560 1948 1976 2280 2435 2470 2922 2964 3120 3705 3896 3952 4560 4870 4940 5844 5928 6331 7305 7410 7792 9253 9740 9880 11688 11856 12662 14610 14820 18506 18993 19480 19760 23376 25324 27759 29220 29640 31655 37012 37986 38960 46265 50648 55518 58440 59280 63310 74024 75972 92530 94965 101296 111036 116880 120289 126620 138795 148048 151944 185060 189930 222072 240578 253240 277590 303888 360867 370120 379860 444144 481156 506480 555180 601445 721734 740240 759720 962312 1110360 1202890 1443468 1519440 1804335 1924624 2220720 2405780 2886936 3608670 4811560 5773872 7217340 9623120 14434680 28869360