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28039968 = 25321153167
BaseRepresentation
bin110101011110…
…1101100100000
31221202120121100
41222331230200
524134234333
62440554400
7460223115
oct152755440
957676540
1028039968
1114911930
129482a00
135a69ac8
143a1c90c
1526dd213
hex1abdb20

28039968 has 144 divisors (see below), whose sum is σ = 89159616. Its totient is φ = 8286720.

The previous prime is 28039961. The next prime is 28039981. The reversal of 28039968 is 86993082.

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 (28039961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167821 + ... + 167987.

It is an arithmetic number, because the mean of its divisors is an integer number (619164).

Almost surely, 228039968 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 28039968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44579808).

28039968 is an abundant number, since it is smaller than the sum of its proper divisors (61119648).

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

28039968 is a wasteful number, since it uses less digits than its factorization.

28039968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 28039968 is about 5295.2778963903. The cubic root of 28039968 is about 303.8033122905.

The spelling of 28039968 in words is "twenty-eight million, thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 53 66 72 88 96 99 106 132 144 159 167 176 198 212 264 288 318 334 352 396 424 477 501 528 583 636 668 792 848 954 1002 1056 1166 1272 1336 1503 1584 1696 1749 1837 1908 2004 2332 2544 2672 3006 3168 3498 3674 3816 4008 4664 5088 5247 5344 5511 6012 6996 7348 7632 8016 8851 9328 10494 11022 12024 13992 14696 15264 16032 16533 17702 18656 20988 22044 24048 26553 27984 29392 33066 35404 41976 44088 48096 53106 55968 58784 66132 70808 79659 83952 88176 97361 106212 132264 141616 159318 167904 176352 194722 212424 264528 283232 292083 318636 389444 424848 529056 584166 637272 778888 849696 876249 1168332 1274544 1557776 1752498 2336664 2549088 3115552 3504996 4673328 7009992 9346656 14019984 28039968