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428658300 = 223252768041
BaseRepresentation
bin11001100011001…
…100111001111100
31002212121002122100
4121203030321330
51334214031200
6110311345100
713423351440
oct3143147174
91085532570
10428658300
111aaa6a364
12bb682190
136aa66985
1440d04820
1527974d00
hex198cce7c

428658300 has 108 divisors (see below), whose sum is σ = 1535571856. Its totient is φ = 97977600.

The previous prime is 428658299. The next prime is 428658301. The reversal of 428658300 is 3856824.

It is an interprime number because it is at equal distance from previous prime (428658299) and next prime (428658301).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428658301) 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, 27721 + ... + 40320.

Almost surely, 2428658300 is an apocalyptic number.

It is an amenable number.

428658300 is an abundant number, since it is smaller than the sum of its proper divisors (1106913556).

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

428658300 is a wasteful number, since it uses less digits than its factorization.

428658300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68068 (or 68058 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 428658300 is about 20704.0648182911. The cubic root of 428658300 is about 753.9983794030.

The spelling of 428658300 in words is "four hundred twenty-eight million, six hundred fifty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 68041 136082 204123 272164 340205 408246 476287 612369 680410 816492 952574 1020615 1224738 1360820 1428861 1701025 1905148 2041230 2381435 2449476 2857722 3061845 3402050 4082460 4286583 4762870 5103075 5715444 6123690 6804100 7144305 8573166 9525740 10206150 11907175 12247380 14288610 15309225 17146332 20412300 21432915 23814350 28577220 30618450 35721525 42865830 47628700 61236900 71443050 85731660 107164575 142886100 214329150 428658300