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28056420 = 22325723181
BaseRepresentation
bin110101100000…
…1101101100100
31221210102011200
41223001231210
524140301140
62441202500
7460322100
oct153015544
957712150
1028056420
1114923227
129490430
135a74442
143a24900
1526e3030
hex1ac1b64

28056420 has 108 divisors (see below), whose sum is σ = 99030204. Its totient is φ = 6410880.

The previous prime is 28056419. The next prime is 28056421. The reversal of 28056420 is 2465082.

28056420 is a `hidden beast` number, since 2 + 80 + 564 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (28056419) and next prime (28056421).

It can be written as a sum of positive squares in 2 ways, for example, as 5531904 + 22524516 = 2352^2 + 4746^2 .

It is not an unprimeable number, because it can be changed into a prime (28056421) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7230 + ... + 10410.

Almost surely, 228056420 is an apocalyptic number.

28056420 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 28056420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49515102).

28056420 is an abundant number, since it is smaller than the sum of its proper divisors (70973784).

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

28056420 is a wasteful number, since it uses less digits than its factorization.

28056420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 28056420 is about 5296.8311281369. The cubic root of 28056420 is about 303.8627179085.

The spelling of 28056420 in words is "twenty-eight million, fifty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 3181 4410 6362 8820 9543 12724 15905 19086 22267 28629 31810 38172 44534 47715 57258 63620 66801 89068 95430 111335 114516 133602 143145 155869 190860 200403 222670 267204 286290 311738 334005 400806 445340 467607 572580 623476 668010 779345 801612 935214 1002015 1336020 1402821 1558690 1870428 2004030 2338035 2805642 3117380 4008060 4676070 5611284 7014105 9352140 14028210 28056420