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28224720 = 2433573179
BaseRepresentation
bin110101110101…
…0110011010000
31222002222001000
41223222303100
524211142340
62444542000
7461622546
oct153526320
958088030
1028224720
1114a28717
129551900
135b02c24
143a69d96
152727d30
hex1aeacd0

28224720 has 160 divisors (see below), whose sum is σ = 99100800. Its totient is φ = 7382016.

The previous prime is 28224697. The next prime is 28224733. The reversal of 28224720 is 2742282.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 157591 + ... + 157769.

It is an arithmetic number, because the mean of its divisors is an integer number (619380).

Almost surely, 228224720 is an apocalyptic number.

28224720 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 28224720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49550400).

28224720 is an abundant number, since it is smaller than the sum of its proper divisors (70876080).

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

28224720 is a wasteful number, since it uses less digits than its factorization.

28224720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 28224720 is about 5312.6942317434. The cubic root of 28224720 is about 304.4690934197.

The spelling of 28224720 in words is "twenty-eight million, two hundred twenty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 73 80 90 108 120 135 144 146 179 180 216 219 240 270 292 358 360 365 432 438 537 540 584 657 716 720 730 876 895 1074 1080 1095 1168 1314 1432 1460 1611 1752 1790 1971 2148 2160 2190 2628 2685 2864 2920 3222 3285 3504 3580 3942 4296 4380 4833 5256 5370 5840 6444 6570 7160 7884 8055 8592 8760 9666 9855 10512 10740 12888 13067 13140 14320 15768 16110 17520 19332 19710 21480 24165 25776 26134 26280 31536 32220 38664 39201 39420 42960 48330 52268 52560 64440 65335 77328 78402 78840 96660 104536 117603 128880 130670 156804 157680 193320 196005 209072 235206 261340 313608 352809 386640 392010 470412 522680 588015 627216 705618 784020 940824 1045360 1176030 1411236 1568040 1764045 1881648 2352060 2822472 3136080 3528090 4704120 5644944 7056180 9408240 14112360 28224720