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28758096 = 24321923457
BaseRepresentation
bin110110110110…
…1000001010000
32000010001200200
41231231001100
524330224341
62504215200
7466303563
oct155550120
960101620
1028758096
1115262424
12976a500
135c5b933
143b684da
1527d0db6
hex1b6d050

28758096 has 120 divisors (see below), whose sum is σ = 88595520. Its totient is φ = 8667648.

The previous prime is 28758091. The next prime is 28758109. The reversal of 28758096 is 69085782.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28758091) 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, 62700 + ... + 63156.

It is an arithmetic number, because the mean of its divisors is an integer number (738296).

Almost surely, 228758096 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 28758096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44297760).

28758096 is an abundant number, since it is smaller than the sum of its proper divisors (59837424).

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

28758096 is a wasteful number, since it uses less digits than its factorization.

28758096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 28758096 is about 5362.6575501331. The cubic root of 28758096 is about 306.3750367671.

The spelling of 28758096 in words is "twenty-eight million, seven hundred fifty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 23 24 36 38 46 48 57 69 72 76 92 114 138 144 152 171 184 207 228 276 304 342 368 414 437 456 457 552 684 828 874 912 914 1104 1311 1368 1371 1656 1748 1828 2622 2736 2742 3312 3496 3656 3933 4113 5244 5484 6992 7312 7866 8226 8683 10488 10511 10968 15732 16452 17366 20976 21022 21936 26049 31464 31533 32904 34732 42044 52098 62928 63066 65808 69464 78147 84088 94599 104196 126132 138928 156294 168176 189198 199709 208392 252264 312588 378396 399418 416784 504528 599127 625176 756792 798836 1198254 1250352 1513584 1597672 1797381 2396508 3195344 3594762 4793016 7189524 9586032 14379048 28758096