Search a number
-
+
28731528 = 23327109523
BaseRepresentation
bin110110110011…
…0100010001000
32000001201020200
41231212202020
524323402103
62503452200
7466133250
oct155464210
960051220
1028731528
1115244471
129757060
135c4c807
143b5c960
1527c80a3
hex1b66888

28731528 has 96 divisors (see below), whose sum is σ = 89918400. Its totient is φ = 8118144.

The previous prime is 28731517. The next prime is 28731551. The reversal of 28731528 is 82513782.

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

It is a junction number, because it is equal to n+sod(n) for n = 28731492 and 28731501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54675 + ... + 55197.

It is an arithmetic number, because the mean of its divisors is an integer number (936650).

Almost surely, 228731528 is an apocalyptic number.

28731528 is a gapful number since it is divisible by the number (28) 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 28731528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44959200).

28731528 is an abundant number, since it is smaller than the sum of its proper divisors (61186872).

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

28731528 is a wasteful number, since it uses less digits than its factorization.

28731528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 644 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 28731528 is about 5360.1798477290. The cubic root of 28731528 is about 306.2806600985.

The spelling of 28731528 in words is "twenty-eight million, seven hundred thirty-one thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 109 126 168 218 252 327 436 504 523 654 763 872 981 1046 1308 1526 1569 1962 2092 2289 2616 3052 3138 3661 3924 4184 4578 4707 6104 6276 6867 7322 7848 9156 9414 10983 12552 13734 14644 18312 18828 21966 27468 29288 32949 37656 43932 54936 57007 65898 87864 114014 131796 171021 228028 263592 342042 399049 456056 513063 684084 798098 1026126 1197147 1368168 1596196 2052252 2394294 3192392 3591441 4104504 4788588 7182882 9577176 14365764 28731528