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428600608 = 2543674649
BaseRepresentation
bin11001100010111…
…110110100100000
31002212111011111121
4121202332310200
51334210204413
6110310222024
713423021312
oct3142766440
91085434447
10428600608
111aaa2aa87
12bb654914
136aa46637
1440ccb7b2
1527962b8d
hex198bed20

428600608 has 48 divisors (see below), whose sum is σ = 876506400. Its totient is φ = 206148096.

The previous prime is 428600597. The next prime is 428600609. The reversal of 428600608 is 806006824.

It is not an unprimeable number, because it can be changed into a prime (428600609) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89868 + ... + 94516.

It is an arithmetic number, because the mean of its divisors is an integer number (18260550).

Almost surely, 2428600608 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 428600608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438253200).

428600608 is an abundant number, since it is smaller than the sum of its proper divisors (447905792).

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

428600608 is a wasteful number, since it uses less digits than its factorization.

428600608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4769 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 428600608 is about 20702.6715184297. The cubic root of 428600608 is about 753.9645516618.

The spelling of 428600608 in words is "four hundred twenty-eight million, six hundred thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 43 67 86 134 172 268 344 536 688 1072 1376 2144 2881 4649 5762 9298 11524 18596 23048 37192 46096 74384 92192 148768 199907 311483 399814 622966 799628 1245932 1599256 2491864 3198512 4983728 6397024 9967456 13393769 26787538 53575076 107150152 214300304 428600608