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28616328 = 2334134379
BaseRepresentation
bin110110100101…
…0011010001000
31222211212020000
41231022122020
524311210303
62501203000
7465143346
oct155123210
958755200
1028616328
1115175964
129700460
135c0c250
143b2c996
1527a3da3
hex1b4a688

28616328 has 160 divisors (see below), whose sum is σ = 89443200. Its totient is φ = 8491392.

The previous prime is 28616327. The next prime is 28616351. The reversal of 28616328 is 82361682.

28616328 is a `hidden beast` number, since 2 + 8 + 616 + 32 + 8 = 666.

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

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 = 28616292 and 28616301.

It is not an unprimeable number, because it can be changed into a prime (28616327) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 362193 + ... + 362271.

It is an arithmetic number, because the mean of its divisors is an integer number (559020).

Almost surely, 228616328 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 28616328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44721600).

28616328 is an abundant number, since it is smaller than the sum of its proper divisors (60826872).

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

28616328 is a wasteful number, since it uses less digits than its factorization.

28616328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 28616328 is about 5349.4231464710. The cubic root of 28616328 is about 305.8707643423.

The spelling of 28616328 in words is "twenty-eight million, six hundred sixteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 43 52 54 72 78 79 81 86 104 108 117 129 156 158 162 172 216 234 237 258 312 316 324 344 351 387 468 474 516 559 632 648 702 711 774 936 948 1027 1032 1053 1118 1161 1404 1422 1548 1677 1896 2054 2106 2133 2236 2322 2808 2844 3081 3096 3354 3397 3483 4108 4212 4266 4472 4644 5031 5688 6162 6399 6708 6794 6966 8216 8424 8532 9243 9288 10062 10191 12324 12798 13416 13588 13932 15093 17064 18486 20124 20382 24648 25596 27176 27729 27864 30186 30573 36972 40248 40764 44161 45279 51192 55458 60372 61146 73944 81528 83187 88322 90558 91719 110916 120744 122292 132483 166374 176644 181116 183438 221832 244584 264966 275157 332748 353288 362232 366876 397449 529932 550314 665496 733752 794898 1059864 1100628 1192347 1589796 2201256 2384694 3179592 3577041 4769388 7154082 9538776 14308164 28616328