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28480896 = 27344167
BaseRepresentation
bin110110010100…
…1010110000000
31222120222110000
41230221112000
524242342041
62454240000
7464040453
oct154512600
958528400
1028480896
1115093134
129656000
135b92702
143ad549a
152778bb6
hex1b29580

28480896 has 160 divisors (see below), whose sum is σ = 88121880. Its totient is φ = 9123840.

The previous prime is 28480883. The next prime is 28480897. The reversal of 28480896 is 69808482.

It is a happy number.

It is a super-2 number, since 2×284808962 = 1622322873925632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28480897) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 425055 + ... + 425121.

Almost surely, 228480896 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 28480896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44060940).

28480896 is an abundant number, since it is smaller than the sum of its proper divisors (59640984).

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

28480896 is an equidigital number, since it uses as much as digits as its factorization.

28480896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 28480896 is about 5336.7495725394. The cubic root of 28480896 is about 305.3874713578.

The spelling of 28480896 in words is "twenty-eight million, four hundred eighty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 67 72 81 82 96 108 123 128 134 144 162 164 192 201 216 246 268 288 324 328 369 384 402 432 492 536 576 603 648 656 738 804 864 984 1072 1107 1152 1206 1296 1312 1476 1608 1728 1809 1968 2144 2214 2412 2592 2624 2747 2952 3216 3321 3456 3618 3936 4288 4428 4824 5184 5248 5427 5494 5904 6432 6642 7236 7872 8241 8576 8856 9648 10368 10854 10988 11808 12864 13284 14472 15744 16482 17712 19296 21708 21976 23616 24723 25728 26568 28944 32964 35424 38592 43416 43952 47232 49446 53136 57888 65928 70848 74169 77184 86832 87904 98892 106272 115776 131856 141696 148338 173664 175808 197784 212544 222507 231552 263712 296676 347328 351616 395568 425088 445014 527424 593352 694656 791136 890028 1054848 1186704 1582272 1780056 2373408 3164544 3560112 4746816 7120224 9493632 14240448 28480896