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28756980 = 22325729787
BaseRepresentation
bin110110110110…
…0101111110100
32000010000011100
41231230233310
524330210410
62504210100
7466300410
oct155545764
960100140
1028756980
11152615aa
129769930
135c5b285
143b67d40
1527d08c0
hex1b6cbf4

28756980 has 144 divisors (see below), whose sum is σ = 103259520. Its totient is φ = 6338304.

The previous prime is 28756961. The next prime is 28756993. The reversal of 28756980 is 8965782.

28756980 is a `hidden beast` number, since 2 + 8 + 7 + 569 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36147 + ... + 36933.

It is an arithmetic number, because the mean of its divisors is an integer number (717080).

Almost surely, 228756980 is an apocalyptic number.

28756980 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 28756980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51629760).

28756980 is an abundant number, since it is smaller than the sum of its proper divisors (74502540).

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

28756980 is a wasteful number, since it uses less digits than its factorization.

28756980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 833 counting only the distinct ones).

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

The square root of 28756980 is about 5362.5534962367. The cubic root of 28756980 is about 306.3710736053.

The spelling of 28756980 in words is "twenty-eight million, seven hundred fifty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 29 30 35 36 42 45 58 60 63 70 84 87 90 105 116 126 140 145 174 180 203 210 252 261 290 315 348 406 420 435 522 580 609 630 787 812 870 1015 1044 1218 1260 1305 1574 1740 1827 2030 2361 2436 2610 3045 3148 3654 3935 4060 4722 5220 5509 6090 7083 7308 7870 9135 9444 11018 11805 12180 14166 15740 16527 18270 22036 22823 23610 27545 28332 33054 35415 36540 45646 47220 49581 55090 66108 68469 70830 82635 91292 99162 110180 114115 136938 141660 159761 165270 198324 205407 228230 247905 273876 319522 330540 342345 410814 456460 479283 495810 639044 684690 798805 821628 958566 991620 1027035 1369380 1437849 1597610 1917132 2054070 2396415 2875698 3195220 4108140 4792830 5751396 7189245 9585660 14378490 28756980