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28123788 = 22371122767
BaseRepresentation
bin110101101001…
…0001010001100
31221220211120210
41223102022030
524144430123
62442442420
7461022360
oct153221214
957824523
1028123788
1114969900
129503410
135a98cc4
143a412a0
152707e93
hex1ad228c

28123788 has 72 divisors (see below), whose sum is σ = 82464256. Its totient is φ = 7302240.

The previous prime is 28123787. The next prime is 28123793. The reversal of 28123788 is 88732182.

It is a super-3 number, since 3×281237883 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (28123787) 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 23 ways as a sum of consecutive naturals, for example, 8781 + ... + 11547.

Almost surely, 228123788 is an apocalyptic number.

28123788 is a gapful number since it is divisible by the number (28) 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 28123788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41232128).

28123788 is an abundant number, since it is smaller than the sum of its proper divisors (54340468).

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

28123788 is a wasteful number, since it uses less digits than its factorization.

28123788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2790 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 28123788 is about 5303.1865892122. The cubic root of 28123788 is about 304.1057313433.

The spelling of 28123788 in words is "twenty-eight million, one hundred twenty-three thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1452 1694 2541 2767 3388 5082 5534 8301 10164 11068 16602 19369 30437 33204 38738 58107 60874 77476 91311 116214 121748 182622 213059 232428 334807 365244 426118 639177 669614 852236 1004421 1278354 1339228 2008842 2343649 2556708 4017684 4687298 7030947 9374596 14061894 28123788