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28364328 = 2332537433
BaseRepresentation
bin110110000110…
…0111000101000
31222101001112200
41230030320220
524230124303
62451540200
7463043556
oct154147050
958331480
1028364328
11150135a3
1295ba660
135b51635
143aa4bd6
1527543a3
hex1b0ce28

28364328 has 48 divisors (see below), whose sum is σ = 78280020. Its totient is φ = 9275136.

The previous prime is 28364327. The next prime is 28364339. The reversal of 28364328 is 82346382.

28364328 is a `hidden beast` number, since 2 + 8 + 3 + 643 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27688644 + 675684 = 5262^2 + 822^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 28364292 and 28364301.

It is not an unprimeable number, because it can be changed into a prime (28364327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100 + ... + 7532.

Almost surely, 228364328 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 28364328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39140010).

28364328 is an abundant number, since it is smaller than the sum of its proper divisors (49915692).

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

28364328 is a wasteful number, since it uses less digits than its factorization.

28364328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7498 (or 7491 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 28364328 is about 5325.8171204051. The cubic root of 28364328 is about 304.9702667423.

The spelling of 28364328 in words is "twenty-eight million, three hundred sixty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 7433 14866 22299 29732 44598 59464 66897 89196 133794 178392 267588 393949 535176 787898 1181847 1575796 2363694 3151592 3545541 4727388 7091082 9454776 14182164 28364328