Search a number
-
+
28562320 = 2451922343
BaseRepresentation
bin110110011110…
…1001110010000
31222202010010201
41230331032100
524302443240
62500104544
7464530033
oct154751620
958663121
1028562320
1115139326
129695154
135bc07a7
143b1701a
152792d9a
hex1b3d390

28562320 has 120 divisors (see below), whose sum is σ = 74834496. Its totient is φ = 10112256.

The previous prime is 28562311. The next prime is 28562353. The reversal of 28562320 is 2326582.

It is a super-2 number, since 2×285623202 = 1631612247564800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 664219 + ... + 664261.

Almost surely, 228562320 is an apocalyptic number.

28562320 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 28562320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37417248).

28562320 is an abundant number, since it is smaller than the sum of its proper divisors (46272176).

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

28562320 is a wasteful number, since it uses less digits than its factorization.

28562320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 28562320 is about 5344.3727414917. The cubic root of 28562320 is about 305.6782184220.

It can be divided in two parts, 28562 and 320, that added together give a palindrome (28882).

The spelling of 28562320 in words is "twenty-eight million, five hundred sixty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 43 46 76 80 86 92 95 115 152 172 184 190 215 230 304 344 361 368 380 430 437 460 688 722 760 817 860 874 920 989 1444 1520 1634 1720 1748 1805 1840 1978 2185 2888 3268 3440 3496 3610 3956 4085 4370 4945 5776 6536 6992 7220 7912 8170 8303 8740 9890 13072 14440 15523 15824 16340 16606 17480 18791 19780 28880 31046 32680 33212 34960 37582 39560 41515 62092 65360 66424 75164 77615 79120 83030 93955 124184 132848 150328 155230 166060 187910 248368 300656 310460 332120 357029 375820 620920 664240 714058 751640 1241840 1428116 1503280 1785145 2856232 3570290 5712464 7140580 14281160 28562320