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28212840 = 23335151173
BaseRepresentation
bin110101110011…
…1111001101000
31222002100202000
41223213321220
524210302330
62444411000
7461543115
oct153477150
958070660
1028212840
1114a1a7a7
129546a60
135aca6b6
143a6590c
152724560
hex1ae7e68

28212840 has 128 divisors (see below), whose sum is σ = 95212800. Its totient is φ = 7430400.

The previous prime is 28212791. The next prime is 28212857. The reversal of 28212840 is 4821282.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162994 + ... + 163166.

It is an arithmetic number, because the mean of its divisors is an integer number (743850).

Almost surely, 228212840 is an apocalyptic number.

28212840 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 28212840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47606400).

28212840 is an abundant number, since it is smaller than the sum of its proper divisors (66999960).

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

28212840 is a wasteful number, since it uses less digits than its factorization.

28212840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 28212840 is about 5311.5760372982. The cubic root of 28212840 is about 304.4263696367.

The spelling of 28212840 in words is "twenty-eight million, two hundred twelve thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 151 173 180 216 270 302 346 360 453 519 540 604 692 755 865 906 1038 1080 1208 1359 1384 1510 1557 1730 1812 2076 2265 2595 2718 3020 3114 3460 3624 4077 4152 4530 4671 5190 5436 6040 6228 6795 6920 7785 8154 9060 9342 10380 10872 12456 13590 15570 16308 18120 18684 20385 20760 23355 26123 27180 31140 32616 37368 40770 46710 52246 54360 62280 78369 81540 93420 104492 130615 156738 163080 186840 208984 235107 261230 313476 391845 470214 522460 626952 705321 783690 940428 1044920 1175535 1410642 1567380 1880856 2351070 2821284 3134760 3526605 4702140 5642568 7053210 9404280 14106420 28212840