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28464256 = 2717103127
BaseRepresentation
bin110110010010…
…1010010000000
31222120010121201
41230211102000
524241324011
62454030544
7463641112
oct154452200
958503551
1028464256
1115081687
129648454
135b87c72
143acd3b2
152773cc1
hex1b25480

28464256 has 64 divisors (see below), whose sum is σ = 61102080. Its totient is φ = 13160448.

The previous prime is 28464221. The next prime is 28464259. The reversal of 28464256 is 65246482.

28464256 = 4092 + 4102 + ... + 5352.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28464259) 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, 224065 + ... + 224191.

It is an arithmetic number, because the mean of its divisors is an integer number (954720).

Almost surely, 228464256 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 28464256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30551040).

28464256 is an abundant number, since it is smaller than the sum of its proper divisors (32637824).

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

28464256 is a wasteful number, since it uses less digits than its factorization.

28464256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its digits is 92160, while the sum is 37.

The square root of 28464256 is about 5335.1903433711. The cubic root of 28464256 is about 305.3279854308.

The spelling of 28464256 in words is "twenty-eight million, four hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 103 127 128 136 206 254 272 412 508 544 824 1016 1088 1648 1751 2032 2159 2176 3296 3502 4064 4318 6592 7004 8128 8636 13081 13184 14008 16256 17272 26162 28016 34544 52324 56032 69088 104648 112064 138176 209296 222377 224128 276352 418592 444754 837184 889508 1674368 1779016 3558032 7116064 14232128 28464256