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428493280 = 25543611021
BaseRepresentation
bin11001100010100…
…100100111100000
31002212021201021111
4121202210213200
51334143241110
6110304033104
713422063355
oct3142444740
91085251244
10428493280
111aa967386
12bb602794
136aa09827
1440ca062c
1527940e8a
hex198a49e0

428493280 has 96 divisors (see below), whose sum is σ = 1053870048. Its totient is φ = 164505600.

The previous prime is 428493277. The next prime is 428493293. The reversal of 428493280 is 82394824.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419170 + ... + 420190.

It is an arithmetic number, because the mean of its divisors is an integer number (10977813).

Almost surely, 2428493280 is an apocalyptic number.

428493280 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 428493280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526935024).

428493280 is an abundant number, since it is smaller than the sum of its proper divisors (625376768).

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

428493280 is a wasteful number, since it uses less digits than its factorization.

428493280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 428493280 is about 20700.0792269015. The cubic root of 428493280 is about 753.9016117425.

The spelling of 428493280 in words is "four hundred twenty-eight million, four hundred ninety-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 61 80 86 122 160 172 215 244 305 344 430 488 610 688 860 976 1021 1220 1376 1720 1952 2042 2440 2623 3440 4084 4880 5105 5246 6880 8168 9760 10210 10492 13115 16336 20420 20984 26230 32672 40840 41968 43903 52460 62281 81680 83936 87806 104920 124562 163360 175612 209840 219515 249124 311405 351224 419680 439030 498248 622810 702448 878060 996496 1245620 1404896 1756120 1992992 2491240 2678083 3512240 4982480 5356166 7024480 9964960 10712332 13390415 21424664 26780830 42849328 53561660 85698656 107123320 214246640 428493280