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28355328 = 283231397
BaseRepresentation
bin110110000101…
…0101100000000
31222100121012100
41230022230000
524224332303
62451430400
7463005411
oct154125400
958317170
1028355328
1115007861
1295b5400
135b4a501
143aa1808
1527518a3
hex1b0ab00

28355328 has 108 divisors (see below), whose sum is σ = 84605248. Its totient is φ = 9123840.

The previous prime is 28355309. The next prime is 28355339. The reversal of 28355328 is 82355382.

28355328 is a `hidden beast` number, since 2 + 83 + 553 + 28 = 666.

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

Its product of digits (57600) is a multiple of the sum of its prime factors (450).

It is a junction number, because it is equal to n+sod(n) for n = 28355292 and 28355301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71226 + ... + 71622.

Almost surely, 228355328 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 28355328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42302624).

28355328 is an abundant number, since it is smaller than the sum of its proper divisors (56249920).

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

28355328 is a wasteful number, since it uses less digits than its factorization.

28355328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 433 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 28355328 is about 5324.9721126030. The cubic root of 28355328 is about 304.9380076461.

It can be divided in two parts, 283 and 55328, that added together give a triangular number (55611 = T333).

The spelling of 28355328 in words is "twenty-eight million, three hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 397 496 558 576 744 768 794 992 1116 1152 1191 1488 1588 1984 2232 2304 2382 2976 3176 3573 3968 4464 4764 5952 6352 7146 7936 8928 9528 11904 12307 12704 14292 17856 19056 23808 24614 25408 28584 35712 36921 38112 49228 50816 57168 71424 73842 76224 98456 101632 110763 114336 147684 152448 196912 221526 228672 295368 304896 393824 443052 457344 590736 787648 886104 914688 1181472 1575296 1772208 2362944 3150592 3544416 4725888 7088832 9451776 14177664 28355328