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28848120 = 2335761563
BaseRepresentation
bin110111000001…
…0111111111000
32000021122011220
41232002333320
524341114440
62510152040
7500130210
oct156027770
960248156
1028848120
1115314024
1297b2620
135c908c2
143b8d240
1527ec8d0
hex1b82ff8

28848120 has 128 divisors (see below), whose sum is σ = 100707840. Its totient is φ = 6474240.

The previous prime is 28848119. The next prime is 28848121. The reversal of 28848120 is 2184882.

It is an interprime number because it is at equal distance from previous prime (28848119) and next prime (28848121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28848121) 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, 50959 + ... + 51521.

It is an arithmetic number, because the mean of its divisors is an integer number (786780).

Almost surely, 228848120 is an apocalyptic number.

28848120 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 28848120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50353920).

28848120 is an abundant number, since it is smaller than the sum of its proper divisors (71859720).

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

28848120 is a wasteful number, since it uses less digits than its factorization.

28848120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 28848120 is about 5371.0445911387. The cubic root of 28848120 is about 306.6943946783.

The spelling of 28848120 in words is "twenty-eight million, eight hundred forty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 61 70 84 105 120 122 140 168 183 210 244 280 305 366 420 427 488 563 610 732 840 854 915 1126 1220 1281 1464 1689 1708 1830 2135 2252 2440 2562 2815 3378 3416 3660 3941 4270 4504 5124 5630 6405 6756 7320 7882 8445 8540 10248 11260 11823 12810 13512 15764 16890 17080 19705 22520 23646 25620 31528 33780 34343 39410 47292 51240 59115 67560 68686 78820 94584 103029 118230 137372 157640 171715 206058 236460 240401 274744 343430 412116 472920 480802 515145 686860 721203 824232 961604 1030290 1202005 1373720 1442406 1923208 2060580 2404010 2884812 3606015 4121160 4808020 5769624 7212030 9616040 14424060 28848120