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428571216 = 24331317573
BaseRepresentation
bin11001100010110…
…111101001010000
31002212102200012000
4121202313221100
51334203234331
6110305434000
713422536523
oct3142675120
91085380160
10428571216
111aaa0a997
12bb63b900
136aa36148
1440cc0bba
15279590e6
hex198b7a50

428571216 has 80 divisors (see below), whose sum is σ = 1239712320. Its totient is φ = 141747840.

The previous prime is 428571203. The next prime is 428571301. The reversal of 428571216 is 612175824.

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

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, 52806 + ... + 60378.

It is an arithmetic number, because the mean of its divisors is an integer number (15496404).

Almost surely, 2428571216 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 428571216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619856160).

428571216 is an abundant number, since it is smaller than the sum of its proper divisors (811141104).

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

428571216 is a wasteful number, since it uses less digits than its factorization.

428571216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7721 (or 7709 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 428571216 is about 20701.9616461822. The cubic root of 428571216 is about 753.9473164765.

The spelling of 428571216 in words is "four hundred twenty-eight million, five hundred seventy-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 131 144 216 262 393 432 524 786 1048 1179 1572 2096 2358 3144 3537 4716 6288 7074 7573 9432 14148 15146 18864 22719 28296 30292 45438 56592 60584 68157 90876 121168 136314 181752 204471 272628 363504 408942 545256 817884 992063 1090512 1635768 1984126 2976189 3271536 3968252 5952378 7936504 8928567 11904756 15873008 17857134 23809512 26785701 35714268 47619024 53571402 71428536 107142804 142857072 214285608 428571216