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428658280 = 23529419013
BaseRepresentation
bin11001100011001…
…100111001101000
31002212121002121121
4121203030321220
51334214031110
6110311345024
713423351411
oct3143147150
91085532547
10428658280
111aaa6a346
12bb682174
136aa6696b
1440d04808
1527974cda
hex198cce68

428658280 has 64 divisors (see below), whose sum is σ = 1022187600. Its totient is φ = 161495040.

The previous prime is 428658277. The next prime is 428658289. The reversal of 428658280 is 82856824.

It can be written as a sum of positive squares in 8 ways, for example, as 73034116 + 355624164 = 8546^2 + 18858^2 .

It is not an unprimeable number, because it can be changed into a prime (428658289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43054 + ... + 52066.

Almost surely, 2428658280 is an apocalyptic number.

428658280 is a gapful number since it is divisible by the number (40) 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 428658280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511093800).

428658280 is an abundant number, since it is smaller than the sum of its proper divisors (593529320).

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

428658280 is a wasteful number, since it uses less digits than its factorization.

428658280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9094 (or 9090 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The square root of 428658280 is about 20704.0643352942. The cubic root of 428658280 is about 753.9983676765.

The spelling of 428658280 in words is "four hundred twenty-eight million, six hundred fifty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 41 58 82 116 145 164 205 232 290 328 410 580 820 1160 1189 1640 2378 4756 5945 9013 9512 11890 18026 23780 36052 45065 47560 72104 90130 180260 261377 360520 369533 522754 739066 1045508 1306885 1478132 1847665 2091016 2613770 2956264 3695330 5227540 7390660 10455080 10716457 14781320 21432914 42865828 53582285 85731656 107164570 214329140 428658280