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28878120 = 233552971
BaseRepresentation
bin110111000101…
…0010100101000
32000100011100000
41232022110220
524343044440
62510543000
7500313525
oct156122450
960304300
1028878120
1115334617
129807a60
135ca145b
143b9a14c
152806730
hex1b8a528

28878120 has 96 divisors (see below), whose sum is σ = 97362720. Its totient is φ = 7698240.

The previous prime is 28878077. The next prime is 28878127. The reversal of 28878120 is 2187882.

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

It is not an unprimeable number, because it can be changed into a prime (28878127) 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 23 ways as a sum of consecutive naturals, for example, 8235 + ... + 11205.

It is an arithmetic number, because the mean of its divisors is an integer number (1014195).

Almost surely, 228878120 is an apocalyptic number.

28878120 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 28878120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48681360).

28878120 is an abundant number, since it is smaller than the sum of its proper divisors (68484600).

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

28878120 is a wasteful number, since it uses less digits than its factorization.

28878120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 28878120 is about 5373.8366182831. The cubic root of 28878120 is about 306.8006713239.

The spelling of 28878120 in words is "twenty-eight million, eight hundred seventy-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 2971 3240 4860 5942 8913 9720 11884 14855 17826 23768 26739 29710 35652 44565 53478 59420 71304 80217 89130 106956 118840 133695 160434 178260 213912 240651 267390 320868 356520 401085 481302 534780 641736 721953 802170 962604 1069560 1203255 1443906 1604340 1925208 2406510 2887812 3208680 3609765 4813020 5775624 7219530 9626040 14439060 28878120