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28009920 = 2635163179
BaseRepresentation
bin110101011011…
…0010111000000
31221201001101110
41222312113000
524132304140
62440203320
7460036401
oct152662700
957631343
1028009920
11148a12a4
129469540
135a59223
143a119a8
1526d4380
hex1ab65c0

28009920 has 112 divisors (see below), whose sum is σ = 89976960. Its totient is φ = 7382016.

The previous prime is 28009913. The next prime is 28009937. The reversal of 28009920 is 2990082.

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, 156391 + ... + 156569.

Almost surely, 228009920 is an apocalyptic number.

28009920 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 28009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44988480).

28009920 is an abundant number, since it is smaller than the sum of its proper divisors (61967040).

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

28009920 is a wasteful number, since it uses less digits than its factorization.

28009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 28009920 is about 5292.4398910144. The cubic root of 28009920 is about 303.6947536232.

It can be divided in two parts, 2800 and 9920, that added together give a triangular number (12720 = T159).

The spelling of 28009920 in words is "twenty-eight million, nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 163 179 192 240 320 326 358 480 489 537 652 716 815 895 960 978 1074 1304 1432 1630 1790 1956 2148 2445 2608 2685 2864 3260 3580 3912 4296 4890 5216 5370 5728 6520 7160 7824 8592 9780 10432 10740 11456 13040 14320 15648 17184 19560 21480 26080 28640 29177 31296 34368 39120 42960 52160 57280 58354 78240 85920 87531 116708 145885 156480 171840 175062 233416 291770 350124 437655 466832 583540 700248 875310 933664 1167080 1400496 1750620 1867328 2334160 2800992 3501240 4668320 5601984 7002480 9336640 14004960 28009920