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28076160 = 273572089
BaseRepresentation
bin110101100011…
…0100010000000
31221211102020210
41223012202000
524141414120
62441434120
7460433460
oct153064200
957742223
1028076160
1114937042
12949b940
135a80418
143a2bba0
1526e8ce0
hex1ac6880

28076160 has 128 divisors (see below), whose sum is σ = 102326400. Its totient is φ = 6414336.

The previous prime is 28076143. The next prime is 28076171. The reversal of 28076160 is 6167082.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12396 + ... + 14484.

It is an arithmetic number, because the mean of its divisors is an integer number (799425).

Almost surely, 228076160 is an apocalyptic number.

28076160 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 28076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51163200).

28076160 is an abundant number, since it is smaller than the sum of its proper divisors (74250240).

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

28076160 is a wasteful number, since it uses less digits than its factorization.

28076160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 28076160 is about 5298.6941787576. The cubic root of 28076160 is about 303.9339653431.

The spelling of 28076160 in words is "twenty-eight million, seventy-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2089 2240 2688 3360 4178 4480 6267 6720 8356 10445 12534 13440 14623 16712 20890 25068 29246 31335 33424 41780 43869 50136 58492 62670 66848 73115 83560 87738 100272 116984 125340 133696 146230 167120 175476 200544 219345 233968 250680 267392 292460 334240 350952 401088 438690 467936 501360 584920 668480 701904 802176 877380 935872 1002720 1169840 1336960 1403808 1754760 1871744 2005440 2339680 2807616 3509520 4010880 4679360 5615232 7019040 9358720 14038080 28076160