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28086464 = 26771883
BaseRepresentation
bin110101100100…
…1000011000000
31221211221101102
41223021003000
524142231324
62441553532
7460505510
oct153110300
957757342
1028086464
111494385a
1294a58a8
135a85013
143a31840
1526ebdae
hex1ac90c0

28086464 has 56 divisors (see below), whose sum is σ = 64666368. Its totient is φ = 11854080.

The previous prime is 28086463. The next prime is 28086469. The reversal of 28086464 is 46468082.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (28086463) 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, 31367 + ... + 32249.

Almost surely, 228086464 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 28086464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32333184).

28086464 is an abundant number, since it is smaller than the sum of its proper divisors (36579904).

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

28086464 is an equidigital number, since it uses as much as digits as its factorization.

28086464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 28086464 is about 5299.6664045957. Note that the first 3 decimals coincide. The cubic root of 28086464 is about 303.9711422284.

The spelling of 28086464 in words is "twenty-eight million, eighty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 142 224 284 448 497 568 883 994 1136 1766 1988 2272 3532 3976 4544 6181 7064 7952 12362 14128 15904 24724 28256 31808 49448 56512 62693 98896 125386 197792 250772 395584 438851 501544 877702 1003088 1755404 2006176 3510808 4012352 7021616 14043232 28086464