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11328328 = 23112329193
BaseRepresentation
bin101011001101…
…101101001000
3210022112112201
4223031231020
510400001303
61042445544
7165201124
oct53155510
923275481
1011328328
116438160
1239638b4
13246836b
14170c584
15edb81d
hexacdb48

11328328 has 64 divisors (see below), whose sum is σ = 25142400. Its totient is φ = 4730880.

The previous prime is 11328301. The next prime is 11328349. The reversal of 11328328 is 82382311.

11328328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11328296 and 11328305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58600 + ... + 58792.

It is an arithmetic number, because the mean of its divisors is an integer number (392850).

Almost surely, 211328328 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 11328328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12571200).

11328328 is an abundant number, since it is smaller than the sum of its proper divisors (13814072).

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

11328328 is a wasteful number, since it uses less digits than its factorization.

11328328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 258 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 11328328 is about 3365.7581612469. The cubic root of 11328328 is about 224.5890639222.

It can be divided in two parts, 113283 and 28, that added together give a palindrome (113311).

The spelling of 11328328 in words is "eleven million, three hundred twenty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 23 29 44 46 58 88 92 116 184 193 232 253 319 386 506 638 667 772 1012 1276 1334 1544 2024 2123 2552 2668 4246 4439 5336 5597 7337 8492 8878 11194 14674 16984 17756 22388 29348 35512 44776 48829 58696 61567 97658 123134 128731 195316 246268 257462 390632 492536 514924 1029848 1416041 2832082 5664164 11328328