Search a number
-
+
28205880 = 23351989139
BaseRepresentation
bin110101110011…
…0001100111000
31222002000012020
41223212030320
524210042010
62444314440
7461513613
oct153461470
958060166
1028205880
1114a1554a
129542a20
135ac7491
143a6317a
152722470
hex1ae6338

28205880 has 128 divisors (see below), whose sum is σ = 90720000. Its totient is φ = 6994944.

The previous prime is 28205857. The next prime is 28205897. The reversal of 28205880 is 8850282.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 202851 + ... + 202989.

It is an arithmetic number, because the mean of its divisors is an integer number (708750).

Almost surely, 228205880 is an apocalyptic number.

28205880 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 28205880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360000).

28205880 is an abundant number, since it is smaller than the sum of its proper divisors (62514120).

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

28205880 is a wasteful number, since it uses less digits than its factorization.

28205880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 28205880 is about 5310.9208241133. The cubic root of 28205880 is about 304.4013339698.

The spelling of 28205880 in words is "twenty-eight million, two hundred five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 89 95 114 120 139 152 178 190 228 267 278 285 356 380 417 445 456 534 556 570 695 712 760 834 890 1068 1112 1140 1335 1390 1668 1691 1780 2085 2136 2280 2641 2670 2780 3336 3382 3560 4170 5073 5282 5340 5560 6764 7923 8340 8455 10146 10564 10680 12371 13205 13528 15846 16680 16910 20292 21128 24742 25365 26410 31692 33820 37113 39615 40584 49484 50730 52820 61855 63384 67640 74226 79230 98968 101460 105640 123710 148452 158460 185565 202920 235049 247420 296904 316920 371130 470098 494840 705147 742260 940196 1175245 1410294 1484520 1880392 2350490 2820588 3525735 4700980 5641176 7051470 9401960 14102940 28205880