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28826064 = 2433531259
BaseRepresentation
bin110110111110…
…1100111010000
32000020111221000
41231331213100
524334413224
62505502000
7500006001
oct155754720
960214830
1028826064
11152a94a3
1297a1900
135c83857
143b851a8
1527e60c9
hex1b7d9d0

28826064 has 80 divisors (see below), whose sum is σ = 84369600. Its totient is φ = 9419904.

The previous prime is 28826053. The next prime is 28826069. The reversal of 28826064 is 46062882.

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 (28826069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22267 + ... + 23525.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 228826064 is an apocalyptic number.

28826064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28826064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42184800).

28826064 is an abundant number, since it is smaller than the sum of its proper divisors (55543536).

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

28826064 is a wasteful number, since it uses less digits than its factorization.

28826064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1317 counting only the distinct ones).

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

The square root of 28826064 is about 5368.9909666529. The cubic root of 28826064 is about 306.6162130818.

The spelling of 28826064 in words is "twenty-eight million, eight hundred twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1259 1272 1431 1908 2518 2544 2862 3777 3816 5036 5724 7554 7632 10072 11331 11448 15108 20144 22662 22896 30216 33993 45324 60432 66727 67986 90648 133454 135972 181296 200181 266908 271944 400362 533816 543888 600543 800724 1067632 1201086 1601448 1801629 2402172 3202896 3603258 4804344 7206516 9608688 14413032 28826064