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28283780 = 225741931
BaseRepresentation
bin110101111100…
…1001110000100
31222012222001102
41223321032010
524220040110
62450115232
7462260000
oct153711604
958188042
1028283780
1114a69028
12957bb18
135b23a85
143a83700
15273a5a5
hex1af9384

28283780 has 120 divisors (see below), whose sum is σ = 75290880. Its totient is φ = 8890560.

The previous prime is 28283779. The next prime is 28283797. The reversal of 28283780 is 8738282.

It is a super-2 number, since 2×282837802 = 1599944422176800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 912365 + ... + 912395.

It is an arithmetic number, because the mean of its divisors is an integer number (627424).

Almost surely, 228283780 is an apocalyptic number.

28283780 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 28283780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37645440).

28283780 is an abundant number, since it is smaller than the sum of its proper divisors (47007100).

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

28283780 is a wasteful number, since it uses less digits than its factorization.

28283780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 28283780 is about 5318.2497120763. The cubic root of 28283780 is about 304.6813118445.

The spelling of 28283780 in words is "twenty-eight million, two hundred eighty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 19 20 28 31 35 38 49 62 70 76 95 98 124 133 140 155 190 196 217 245 266 310 343 380 434 490 532 589 620 665 686 868 931 980 1085 1178 1330 1372 1519 1715 1862 2170 2356 2401 2660 2945 3038 3430 3724 4123 4340 4655 4802 5890 6076 6517 6860 7595 8246 9310 9604 10633 11780 12005 13034 15190 16492 18620 20615 21266 24010 26068 28861 30380 32585 41230 42532 45619 48020 53165 57722 65170 74431 82460 91238 106330 115444 130340 144305 148862 182476 202027 212660 228095 288610 297724 372155 404054 456190 577220 744310 808108 912380 1010135 1414189 1488620 2020270 2828378 4040540 5656756 7070945 14141890 28283780