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428259328 = 211729873
BaseRepresentation
bin11001100001101…
…011100000000000
31002211211211100121
4121201223200000
51334113244303
6110255030024
713420100320
oct3141534000
91084754317
10428259328
111aa817632
12bb50b314
136a9571b3
1440c3d280
15278e69bd
hex1986b800

428259328 has 48 divisors (see below), whose sum is σ = 978672240. Its totient is φ = 183533568.

The previous prime is 428259323. The next prime is 428259371. The reversal of 428259328 is 823952824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428259323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 601 + ... + 29272.

It is an arithmetic number, because the mean of its divisors is an integer number (20389005).

Almost surely, 2428259328 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 428259328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489336120).

428259328 is an abundant number, since it is smaller than the sum of its proper divisors (550412912).

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

428259328 is an equidigital number, since it uses as much as digits as its factorization.

428259328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29902 (or 29882 counting only the distinct ones).

The product of its digits is 276480, while the sum is 43.

The square root of 428259328 is about 20694.4274624837. The cubic root of 428259328 is about 753.7643797969.

The spelling of 428259328 in words is "four hundred twenty-eight million, two hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 7168 14336 29873 59746 119492 209111 238984 418222 477968 836444 955936 1672888 1911872 3345776 3823744 6691552 7647488 13383104 15294976 26766208 30589952 53532416 61179904 107064832 214129664 428259328