Search a number
-
+
28362332310 = 235131973111187
BaseRepresentation
bin11010011010100001…
…101101100010010110
32201012121201202122020
4122122201231202112
5431041224113220
621010211114010
72022562563324
oct323241554226
981177652566
1028362332310
1111034885064
1255b65a2906
1328a0001270
141530b4ad14
15b0ee89040
hex69a86d896

28362332310 has 128 divisors (see below), whose sum is σ = 73977007104. Its totient is φ = 6917890560.

The previous prime is 28362332303. The next prime is 28362332377. The reversal of 28362332310 is 1323326382.

It is a super-2 number, since 2×283623323102 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23893537 + ... + 23894723.

It is an arithmetic number, because the mean of its divisors is an integer number (577945368).

Almost surely, 228362332310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28362332310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36988503552).

28362332310 is an abundant number, since it is smaller than the sum of its proper divisors (45614674794).

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

28362332310 is a wasteful number, since it uses less digits than its factorization.

28362332310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718.

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 28362332310 its reverse (1323326382), we get a palindrome (29685658692).

The spelling of 28362332310 in words is "twenty-eight billion, three hundred sixty-two million, three hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 197 311 390 394 591 622 933 985 1182 1187 1555 1866 1970 2374 2561 2955 3110 3561 4043 4665 5122 5910 5935 7122 7683 8086 9330 11870 12129 12805 15366 15431 17805 20215 24258 25610 30862 35610 38415 40430 46293 60645 61267 76830 77155 92586 121290 122534 154310 183801 231465 233839 306335 367602 369157 462930 467678 612670 701517 738314 796471 919005 1107471 1169195 1403034 1592942 1838010 1845785 2214942 2338390 2389413 3039907 3507585 3691570 3982355 4778826 4799041 5537355 6079814 7015170 7964710 9119721 9598082 11074710 11947065 14397123 15199535 18239442 23894130 23995205 28794246 30399070 45598605 47990410 71985615 72723929 91197210 143971230 145447858 218171787 363619645 436343574 727239290 945411077 1090858935 1890822154 2181717870 2836233231 4727055385 5672466462 9454110770 14181166155 28362332310