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28442232 = 23337131447
BaseRepresentation
bin110110001111…
…1111001111000
31222112000102000
41230133321320
524240122412
62453341000
7463516650
oct154377170
958460360
1028442232
1115067085
129637760
135b7ac30
143ac5360
15276c4dc
hex1b1fe78

28442232 has 128 divisors (see below), whose sum is σ = 97305600. Its totient is φ = 7496064.

The previous prime is 28442231. The next prime is 28442273. The reversal of 28442232 is 23224482.

It is a super-3 number, since 3×284422323 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 28442196 and 28442205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28442231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18933 + ... + 20379.

It is an arithmetic number, because the mean of its divisors is an integer number (760200).

Almost surely, 228442232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28442232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48652800).

28442232 is an abundant number, since it is smaller than the sum of its proper divisors (68863368).

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

28442232 is a wasteful number, since it uses less digits than its factorization.

28442232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1472 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 28442232 is about 5333.1259126332. The cubic root of 28442232 is about 305.2492167153.

The spelling of 28442232 in words is "twenty-eight million, four hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1447 1512 1638 2184 2457 2808 2894 3276 4341 4914 5788 6552 8682 9828 10129 11576 13023 17364 18811 19656 20258 26046 30387 34728 37622 39069 40516 52092 56433 60774 75244 78138 81032 91161 104184 112866 121548 131677 150488 156276 169299 182322 225732 243096 263354 273483 312552 338598 364644 395031 451464 507897 526708 546966 677196 729288 790062 1015794 1053416 1093932 1185093 1354392 1580124 2031588 2187864 2370186 3160248 3555279 4063176 4740372 7110558 9480744 14221116 28442232