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28438740 = 223251153271
BaseRepresentation
bin110110001111…
…1000011010100
31222111211121200
41230133003110
524240014430
62453312500
7463503531
oct154370324
958454550
1028438740
11150644a0
129635730
135b79475
143ac3d88
15276b460
hex1b1f0d4

28438740 has 144 divisors (see below), whose sum is σ = 96235776. Its totient is φ = 6739200.

The previous prime is 28438733. The next prime is 28438757. The reversal of 28438740 is 4783482.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28438695 and 28438704.

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 47 ways as a sum of consecutive naturals, for example, 104805 + ... + 105075.

It is an arithmetic number, because the mean of its divisors is an integer number (668304).

Almost surely, 228438740 is an apocalyptic number.

28438740 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 28438740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48117888).

28438740 is an abundant number, since it is smaller than the sum of its proper divisors (67797036).

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

28438740 is a wasteful number, since it uses less digits than its factorization.

28438740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 28438740 is about 5332.7985148513. The cubic root of 28438740 is about 305.2367238620.

The spelling of 28438740 in words is "twenty-eight million, four hundred thirty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 53 55 60 66 90 99 106 110 132 159 165 180 198 212 220 265 271 318 330 396 477 495 530 542 583 636 660 795 813 954 990 1060 1084 1166 1355 1590 1626 1749 1908 1980 2332 2385 2439 2710 2915 2981 3180 3252 3498 4065 4770 4878 5247 5420 5830 5962 6996 8130 8745 8943 9540 9756 10494 11660 11924 12195 14363 14905 16260 17490 17886 20988 24390 26235 26829 28726 29810 34980 35772 43089 44715 48780 52470 53658 57452 59620 71815 86178 89430 104940 107316 129267 134145 143630 157993 172356 178860 215445 258534 268290 287260 315986 430890 473979 517068 536580 631972 646335 789965 861780 947958 1292670 1421937 1579930 1895916 2369895 2585340 2843874 3159860 4739790 5687748 7109685 9479580 14219370 28438740