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428246028 = 22347316091
BaseRepresentation
bin11001100001101…
…000010000001100
31002211211011010000
4121201220100030
51334112333103
6110254444300
713420013460
oct3141502014
91084734100
10428246028
111aa808641
12bb503690
136a951122
1440c384a0
15278e2aa3
hex1986840c

428246028 has 120 divisors (see below), whose sum is σ = 1320940544. Its totient is φ = 118389600.

The previous prime is 428246009. The next prime is 428246033. The reversal of 428246028 is 820642824.

It is a happy number.

428246028 is a `hidden beast` number, since 4 + 28 + 24 + 602 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 428245983 and 428246001.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67263 + ... + 73353.

Almost surely, 2428246028 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 428246028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660470272).

428246028 is an abundant number, since it is smaller than the sum of its proper divisors (892694516).

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

428246028 is a wasteful number, since it uses less digits than its factorization.

428246028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6145 (or 6134 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 428246028 is about 20694.1061174432. The cubic root of 428246028 is about 753.7565767600.

The spelling of 428246028 in words is "four hundred twenty-eight million, two hundred forty-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 217 252 279 324 372 378 434 558 567 651 756 837 868 1116 1134 1302 1674 1953 2268 2511 2604 3348 3906 5022 5859 6091 7812 10044 11718 12182 17577 18273 23436 24364 35154 36546 42637 54819 70308 73092 85274 109638 127911 164457 170548 188821 219276 255822 328914 377642 383733 493371 511644 566463 657828 755284 767466 986742 1132926 1151199 1321747 1534932 1699389 1973484 2265852 2302398 2643494 3398778 3453597 3965241 4604796 5098167 5286988 6797556 6907194 7930482 10196334 11895723 13814388 15294501 15860964 20392668 23791446 30589002 35687169 47582892 61178004 71374338 107061507 142748676 214123014 428246028