Search a number
-
+
28910640 = 24351147233
BaseRepresentation
bin110111001001…
…0010000110000
32000101210221110
41232102100300
524400120030
62511353320
7500510403
oct156222060
960353843
1028910640
1115356aa0
129822840
135cb31b5
143ba7d3a
1528111b0
hex1b92430

28910640 has 160 divisors (see below), whose sum is σ = 100279296. Its totient is φ = 6830080.

The previous prime is 28910639. The next prime is 28910641. The reversal of 28910640 is 4601982.

It is an interprime number because it is at equal distance from previous prime (28910639) and next prime (28910641).

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

It is a junction number, because it is equal to n+sod(n) for n = 28910598 and 28910607.

It is not an unprimeable number, because it can be changed into a prime (28910641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123964 + ... + 124196.

Almost surely, 228910640 is an apocalyptic number.

28910640 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 28910640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50139648).

28910640 is an abundant number, since it is smaller than the sum of its proper divisors (71368656).

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

28910640 is a wasteful number, since it uses less digits than its factorization.

28910640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 28910640 is about 5376.8615381094. The cubic root of 28910640 is about 306.9157921032.

The spelling of 28910640 in words is "twenty-eight million, nine hundred ten thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 47 48 55 60 66 80 88 94 110 120 132 141 165 176 188 220 233 235 240 264 282 330 376 440 466 470 517 528 564 660 699 705 752 880 932 940 1034 1128 1165 1320 1398 1410 1551 1864 1880 2068 2256 2330 2563 2585 2640 2796 2820 3102 3495 3728 3760 4136 4660 5126 5170 5592 5640 6204 6990 7689 7755 8272 9320 10252 10340 10951 11184 11280 12408 12815 13980 15378 15510 18640 20504 20680 21902 24816 25630 27960 30756 31020 32853 38445 41008 41360 43804 51260 54755 55920 61512 62040 65706 76890 87608 102520 109510 120461 123024 124080 131412 153780 164265 175216 205040 219020 240922 262824 307560 328530 361383 438040 481844 525648 602305 615120 657060 722766 876080 963688 1204610 1314120 1445532 1806915 1927376 2409220 2628240 2891064 3613830 4818440 5782128 7227660 9636880 14455320 28910640