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28682784 = 25321347163
BaseRepresentation
bin110110101101…
…0101000100000
31222222020101100
41231122220200
524320322114
62502434400
7465541164
oct155325040
958866340
1028682784
1115210889
129732a00
135c33580
143b48ca4
1527b8909
hex1b5aa20

28682784 has 144 divisors (see below), whose sum is σ = 90260352. Its totient is φ = 8584704.

The previous prime is 28682783. The next prime is 28682809. The reversal of 28682784 is 48728682.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (28682783) 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 23 ways as a sum of consecutive naturals, for example, 175887 + ... + 176049.

It is an arithmetic number, because the mean of its divisors is an integer number (626808).

Almost surely, 228682784 is an apocalyptic number.

28682784 is a gapful number since it is divisible by the number (24) 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 28682784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45130176).

28682784 is an abundant number, since it is smaller than the sum of its proper divisors (61577568).

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

28682784 is a wasteful number, since it uses less digits than its factorization.

28682784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 228 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 28682784 is about 5355.6310552539. The cubic root of 28682784 is about 306.1073569224.

The spelling of 28682784 in words is "twenty-eight million, six hundred eighty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 47 48 52 72 78 94 96 104 117 141 144 156 163 188 208 234 282 288 312 326 376 416 423 468 489 564 611 624 652 752 846 936 978 1128 1222 1248 1304 1467 1504 1692 1833 1872 1956 2119 2256 2444 2608 2934 3384 3666 3744 3912 4238 4512 4888 5216 5499 5868 6357 6768 7332 7661 7824 8476 9776 10998 11736 12714 13536 14664 15322 15648 16952 19071 19552 21996 22983 23472 25428 29328 30644 33904 38142 43992 45966 46944 50856 58656 61288 67808 68949 76284 87984 91932 99593 101712 122576 137898 152568 175968 183864 199186 203424 245152 275796 298779 305136 367728 398372 551592 597558 610272 735456 796744 896337 1103184 1195116 1593488 1792674 2206368 2390232 3186976 3585348 4780464 7170696 9560928 14341392 28682784