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28135008 = 25321183107
BaseRepresentation
bin110101101010…
…0111001100000
31221221101222100
41223110321200
524200310013
62443010400
7461100156
oct153247140
957841870
1028135008
1114977280
129509a00
135aa1145
143a453d6
15270b473
hex1ad4e60

28135008 has 144 divisors (see below), whose sum is σ = 89159616. Its totient is φ = 8344320.

The previous prime is 28134989. The next prime is 28135013. The reversal of 28135008 is 80053182.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262891 + ... + 262997.

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

Almost surely, 228135008 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 28135008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44579808).

28135008 is an abundant number, since it is smaller than the sum of its proper divisors (61024608).

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

28135008 is a wasteful number, since it uses less digits than its factorization.

28135008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 28135008 is about 5304.2443382635. The cubic root of 28135008 is about 304.1461670136.

The spelling of 28135008 in words is "twenty-eight million, one hundred thirty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 83 88 96 99 107 132 144 166 176 198 214 249 264 288 321 332 352 396 428 498 528 642 664 747 792 856 913 963 996 1056 1177 1284 1328 1494 1584 1712 1826 1926 1992 2354 2568 2656 2739 2988 3168 3424 3531 3652 3852 3984 4708 5136 5478 5976 7062 7304 7704 7968 8217 8881 9416 10272 10593 10956 11952 14124 14608 15408 16434 17762 18832 21186 21912 23904 26643 28248 29216 30816 32868 35524 37664 42372 43824 53286 56496 65736 71048 79929 84744 87648 97691 106572 112992 131472 142096 159858 169488 195382 213144 262944 284192 293073 319716 338976 390764 426288 586146 639432 781528 852576 879219 1172292 1278864 1563056 1758438 2344584 2557728 3126112 3516876 4689168 7033752 9378336 14067504 28135008