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28768080 = 24351117641
BaseRepresentation
bin110110110111…
…1011101010000
32000010120101110
41231233131100
524331034310
62504333320
7466344645
oct155573520
960116343
1028768080
1115269980
129774240
135c63343
143b6bdcc
1527d3d20
hex1b6f750

28768080 has 160 divisors (see below), whose sum is σ = 103171968. Its totient is φ = 6553600.

The previous prime is 28768073. The next prime is 28768081. The reversal of 28768080 is 8086782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28768081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44560 + ... + 45200.

Almost surely, 228768080 is an apocalyptic number.

28768080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28768080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51585984).

28768080 is an abundant number, since it is smaller than the sum of its proper divisors (74403888).

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

28768080 is a wasteful number, since it uses less digits than its factorization.

28768080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 28768080 is about 5363.5883510948. The cubic root of 28768080 is about 306.4104875894.

The spelling of 28768080 in words is "twenty-eight million, seven hundred sixty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 33 34 40 44 48 51 55 60 66 68 80 85 88 102 110 120 132 136 165 170 176 187 204 220 240 255 264 272 330 340 374 408 440 510 528 561 641 660 680 748 816 880 935 1020 1122 1282 1320 1360 1496 1870 1923 2040 2244 2564 2640 2805 2992 3205 3740 3846 4080 4488 5128 5610 6410 7051 7480 7692 8976 9615 10256 10897 11220 12820 14102 14960 15384 19230 21153 21794 22440 25640 28204 30768 32691 35255 38460 42306 43588 44880 51280 54485 56408 65382 70510 76920 84612 87176 105765 108970 112816 119867 130764 141020 153840 163455 169224 174352 211530 217940 239734 261528 282040 326910 338448 359601 423060 435880 479468 523056 564080 599335 653820 719202 846120 871760 958936 1198670 1307640 1438404 1692240 1798005 1917872 2397340 2615280 2876808 3596010 4794680 5753616 7192020 9589360 14384040 28768080