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28351680 = 263574219
BaseRepresentation
bin110110000100…
…1110011000000
31222100102012020
41230021303000
524224223210
62451401440
7462661650
oct154116300
958312166
1028351680
1115005045
1295b3280
135b48956
143aa0360
152750770
hex1b09cc0

28351680 has 112 divisors (see below), whose sum is σ = 102900480. Its totient is φ = 6478848.

The previous prime is 28351643. The next prime is 28351703. The reversal of 28351680 is 8615382.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) 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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4611 + ... + 8829.

Almost surely, 228351680 is an apocalyptic number.

28351680 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 28351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51450240).

28351680 is an abundant number, since it is smaller than the sum of its proper divisors (74548800).

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

28351680 is a wasteful number, since it uses less digits than its factorization.

28351680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 28351680 is about 5324.6295645801. The cubic root of 28351680 is about 304.9249300150.

The spelling of 28351680 in words is "twenty-eight million, three hundred fifty-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 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 4219 6720 8438 12657 16876 21095 25314 29533 33752 42190 50628 59066 63285 67504 84380 88599 101256 118132 126570 135008 147665 168760 177198 202512 236264 253140 270016 295330 337520 354396 405024 442995 472528 506280 590660 675040 708792 810048 885990 945056 1012560 1181320 1350080 1417584 1771980 1890112 2025120 2362640 2835168 3543960 4050240 4725280 5670336 7087920 9450560 14175840 28351680