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28120278200 = 2352767729669
BaseRepresentation
bin11010001100000110…
…010110010010111000
32200120202021010211012
4122030012112102320
5430042242400300
620530203053052
72013563264240
oct321406262270
980522233735
1028120278200
1110a20189243
125549511188
132861b11491
14150a93cb20
15ae8ac4435
hex68c1964b8

28120278200 has 96 divisors (see below), whose sum is σ = 74832487200. Its totient is φ = 9626672640.

The previous prime is 28120278167. The next prime is 28120278209. The reversal of 28120278200 is 287202182.

It is a super-3 number, since 3×281202782003 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28120278209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 932966 + ... + 962634.

It is an arithmetic number, because the mean of its divisors is an integer number (779505075).

Almost surely, 228120278200 is an apocalyptic number.

28120278200 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 28120278200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37416243600).

28120278200 is an abundant number, since it is smaller than the sum of its proper divisors (46712209000).

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

28120278200 is a wasteful number, since it uses less digits than its factorization.

28120278200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30369 (or 30360 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The spelling of 28120278200 in words is "twenty-eight billion, one hundred twenty million, two hundred seventy-eight thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 677 700 1354 1400 2708 3385 4739 5416 6770 9478 13540 16925 18956 23695 27080 29669 33850 37912 47390 59338 67700 94780 118475 118676 135400 148345 189560 207683 236950 237352 296690 415366 473900 593380 741725 830732 947800 1038415 1186760 1483450 1661464 2076830 2966900 4153660 5192075 5933800 8307320 10384150 20085913 20768300 40171826 41536600 80343652 100429565 140601391 160687304 200859130 281202782 401718260 502147825 562405564 703006955 803436520 1004295650 1124811128 1406013910 2008591300 2812027820 3515034775 4017182600 5624055640 7030069550 14060139100 28120278200