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28771680 = 253578563
BaseRepresentation
bin110110111000…
…0010101100000
32000010202022210
41231300111200
524331143210
62504402120
7466361310
oct155602540
960122283
1028771680
1115271653
129776340
135c64b82
143b6d440
1527d4e20
hex1b70560

28771680 has 96 divisors (see below), whose sum is σ = 103590144. Its totient is φ = 6575616.

The previous prime is 28771679. The next prime is 28771697. The reversal of 28771680 is 8617782.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 922 + ... + 7641.

It is an arithmetic number, because the mean of its divisors is an integer number (1079064).

Almost surely, 228771680 is an apocalyptic number.

28771680 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 28771680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51795072).

28771680 is an abundant number, since it is smaller than the sum of its proper divisors (74818464).

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

28771680 is a wasteful number, since it uses less digits than its factorization.

28771680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8588 (or 8580 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 28771680 is about 5363.9239368209. The cubic root of 28771680 is about 306.4232683259.

The spelling of 28771680 in words is "twenty-eight million, seven hundred seventy-one thousand, six hundred eighty".

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 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 8563 17126 25689 34252 42815 51378 59941 68504 85630 102756 119882 128445 137008 171260 179823 205512 239764 256890 274016 299705 342520 359646 411024 479528 513780 599410 685040 719292 822048 899115 959056 1027560 1198820 1370080 1438584 1798230 1918112 2055120 2397640 2877168 3596460 4110240 4795280 5754336 7192920 9590560 14385840 28771680