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28601928 = 2332419689
BaseRepresentation
bin110110100011…
…0111001001000
31222211010110200
41231012321020
524310230203
62501012200
7465053355
oct155067110
958733420
1028601928
1115166063
1296b4060
135c05824
143b2762c
15279e9a3
hex1b46e48

28601928 has 48 divisors (see below), whose sum is σ = 79361100. Its totient is φ = 9300480.

The previous prime is 28601921. The next prime is 28601953. The reversal of 28601928 is 82910682.

28601928 is a `hidden beast` number, since 28 + 601 + 9 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26811684 + 1790244 = 5178^2 + 1338^2 .

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 = 28601892 and 28601901.

It is not an unprimeable number, because it can be changed into a prime (28601921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1893 + ... + 7796.

Almost surely, 228601928 is an apocalyptic number.

It is an amenable number.

28601928 is an abundant number, since it is smaller than the sum of its proper divisors (50759172).

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

28601928 is a wasteful number, since it uses less digits than its factorization.

28601928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9742 (or 9735 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 28601928 is about 5348.0770375902. The cubic root of 28601928 is about 305.8194500714.

The spelling of 28601928 in words is "twenty-eight million, six hundred one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 9689 19378 29067 38756 58134 77512 87201 116268 174402 232536 348804 397249 697608 794498 1191747 1588996 2383494 3177992 3575241 4766988 7150482 9533976 14300964 28601928