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28026648 = 2335131109
BaseRepresentation
bin110101011101…
…0011100011000
31221201220100000
41222322130120
524133323043
62440413000
7460136226
oct152723430
957656300
1028026648
1114902921
129477160
135a63a20
143a17b16
1526d92d3
hex1aba718

28026648 has 96 divisors (see below), whose sum is σ = 84848400. Its totient is φ = 8615808.

The previous prime is 28026643. The next prime is 28026679. The reversal of 28026648 is 84662082.

28026648 is a `hidden beast` number, since 2 + 8 + 0 + 2 + 6 + 648 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28026641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24718 + ... + 25826.

Almost surely, 228026648 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 28026648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42424200).

28026648 is an abundant number, since it is smaller than the sum of its proper divisors (56821752).

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

28026648 is a wasteful number, since it uses less digits than its factorization.

28026648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 28026648 is about 5294.0200226293. The cubic root of 28026648 is about 303.7551988136.

The spelling of 28026648 in words is "twenty-eight million, twenty-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1053 1109 1404 1944 2106 2218 2808 3159 3327 4212 4436 6318 6654 8424 8872 9981 12636 13308 14417 19962 25272 26616 28834 29943 39924 43251 57668 59886 79848 86502 89829 115336 119772 129753 173004 179658 239544 259506 269487 346008 359316 389259 519012 538974 718632 778518 1038024 1077948 1167777 1557036 2155896 2335554 3114072 3503331 4671108 7006662 9342216 14013324 28026648