Search a number
-
+
28366380 = 22325747479
BaseRepresentation
bin110110000110…
…1011000101100
31222101011100200
41230031120230
524230211010
62451553500
7463052550
oct154153054
958334320
1028366380
1115015099
1295bb890
135b52553
143aa5860
152754cc0
hex1b0d62c

28366380 has 144 divisors (see below), whose sum is σ = 100638720. Its totient is φ = 6332544.

The previous prime is 28366363. The next prime is 28366397. The reversal of 28366380 is 8366382.

It is an interprime number because it is at equal distance from previous prime (28366363) and next prime (28366397).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58981 + ... + 59459.

It is an arithmetic number, because the mean of its divisors is an integer number (698880).

Almost surely, 228366380 is an apocalyptic number.

28366380 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 28366380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50319360).

28366380 is an abundant number, since it is smaller than the sum of its proper divisors (72272340).

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

28366380 is a wasteful number, since it uses less digits than its factorization.

28366380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 28366380 is about 5326.0097634158. The cubic root of 28366380 is about 304.9776208609.

It can be divided in two parts, 2836 and 6380, that added together give a square (9216 = 962).

The spelling of 28366380 in words is "twenty-eight million, three hundred sixty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 47 60 63 70 84 90 94 105 126 140 141 180 188 210 235 252 282 315 329 420 423 470 479 564 630 658 705 846 940 958 987 1260 1316 1410 1437 1645 1692 1916 1974 2115 2395 2820 2874 2961 3290 3353 3948 4230 4311 4790 4935 5748 5922 6580 6706 7185 8460 8622 9580 9870 10059 11844 13412 14370 14805 16765 17244 19740 20118 21555 22513 28740 29610 30177 33530 40236 43110 45026 50295 59220 60354 67060 67539 86220 90052 100590 112565 120708 135078 150885 157591 201180 202617 225130 270156 301770 315182 337695 405234 450260 472773 603540 630364 675390 787955 810468 945546 1013085 1350780 1418319 1575910 1891092 2026170 2363865 2836638 3151820 4052340 4727730 5673276 7091595 9455460 14183190 28366380