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28125900 = 22335211947
BaseRepresentation
bin110101101001…
…0101011001100
31221220221111000
41223102223030
524200012100
62442500300
7461031465
oct153225314
957827430
1028125900
1114970450
129504690
135a99c5a
143a41d6c
152708900
hex1ad2acc

28125900 has 144 divisors (see below), whose sum is σ = 98743680. Its totient is φ = 6811200.

The previous prime is 28125899. The next prime is 28125931. The reversal of 28125900 is 952182.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29227 + ... + 30173.

It is an arithmetic number, because the mean of its divisors is an integer number (685720).

Almost surely, 228125900 is an apocalyptic number.

28125900 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 28125900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49371840).

28125900 is an abundant number, since it is smaller than the sum of its proper divisors (70617780).

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

28125900 is a wasteful number, since it uses less digits than its factorization.

28125900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 28125900 is about 5303.3857110340. The cubic root of 28125900 is about 304.1133435851.

The spelling of 28125900 in words is "twenty-eight million, one hundred twenty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 947 990 1100 1188 1350 1485 1650 1894 1980 2475 2700 2841 2970 3300 3788 4735 4950 5682 5940 7425 8523 9470 9900 10417 11364 14205 14850 17046 18940 20834 23675 25569 28410 29700 31251 34092 41668 42615 47350 51138 52085 56820 62502 71025 85230 93753 94700 102276 104170 125004 127845 142050 156255 170460 187506 208340 213075 255690 260425 281259 284100 312510 375012 426150 468765 511380 520850 562518 625020 639225 781275 852300 937530 1041700 1125036 1278450 1406295 1562550 1875060 2343825 2556900 2812590 3125100 4687650 5625180 7031475 9375300 14062950 28125900