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428672300 = 2252719167193
BaseRepresentation
bin11001100011010…
…000010100101100
31002212121210211212
4121203100110230
51334220003200
6110311533552
713423440320
oct3143202454
91085553755
10428672300
111aaa79931
12bb68a2b8
136aa70164
1440d09980
1527979035
hex198d052c

428672300 has 144 divisors (see below), whose sum is σ = 1131594240. Its totient is φ = 137687040.

The previous prime is 428672267. The next prime is 428672311. The reversal of 428672300 is 3276824.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2221004 + ... + 2221196.

Almost surely, 2428672300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428672300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565797120).

428672300 is an abundant number, since it is smaller than the sum of its proper divisors (702921940).

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

428672300 is a wasteful number, since it uses less digits than its factorization.

428672300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 428672300 is about 20704.4029133902. The cubic root of 428672300 is about 754.0065878544.

The spelling of 428672300 in words is "four hundred twenty-eight million, six hundred seventy-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 167 175 190 193 266 334 350 380 386 475 532 665 668 700 772 835 950 965 1169 1330 1351 1670 1900 1930 2338 2660 2702 3173 3325 3340 3667 3860 4175 4676 4825 5404 5845 6346 6650 6755 7334 8350 9650 11690 12692 13300 13510 14668 15865 16700 18335 19300 22211 23380 25669 27020 29225 31730 32231 33775 36670 44422 51338 58450 63460 64462 67550 73340 79325 88844 91675 102676 111055 116900 128345 128924 135100 158650 161155 183350 222110 225617 256690 317300 322310 366700 444220 451234 513380 555275 612389 641725 644620 805775 902468 1110550 1128085 1224778 1283450 1611550 2221100 2256170 2449556 2566900 3061945 3223100 4286723 4512340 5640425 6123890 8573446 11280850 12247780 15309725 17146892 21433615 22561700 30619450 42867230 61238900 85734460 107168075 214336150 428672300