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28707120 = 24325133067
BaseRepresentation
bin110110110000…
…0100100110000
32000000110202200
41231200210300
524322111440
62503143200
7466002141
oct155404460
960013680
1028707120
11152280a2
129744b00
135c41680
143b53ac8
1527c0c30
hex1b60930

28707120 has 120 divisors (see below), whose sum is σ = 103857936. Its totient is φ = 7064064.

The previous prime is 28707097. The next prime is 28707131. The reversal of 28707120 is 2170782.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7827 + ... + 10893.

Almost surely, 228707120 is an apocalyptic number.

28707120 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 28707120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51928968).

28707120 is an abundant number, since it is smaller than the sum of its proper divisors (75150816).

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

28707120 is a wasteful number, since it uses less digits than its factorization.

28707120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 28707120 is about 5357.9025747022. The cubic root of 28707120 is about 306.1939050389.

The spelling of 28707120 in words is "twenty-eight million, seven hundred seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3067 3120 4680 6134 9201 9360 12268 15335 18402 24536 27603 30670 36804 39871 46005 49072 55206 61340 73608 79742 92010 110412 119613 122680 138015 147216 159484 184020 199355 220824 239226 245360 276030 318968 358839 368040 398710 441648 478452 552060 598065 637936 717678 736080 797420 956904 1104120 1196130 1435356 1594840 1794195 1913808 2208240 2392260 2870712 3189680 3588390 4784520 5741424 7176780 9569040 14353560 28707120