Search a number
-
+
28095144 = 23371123661
BaseRepresentation
bin110101100101…
…1001010101000
31221212101021220
41223023022220
524143021034
62442102040
7460543020
oct153131250
957771256
1028095144
111494a330
1294aa920
135a88c5c
143a34a80
1526ee749
hex1acb2a8

28095144 has 128 divisors (see below), whose sum is σ = 91514880. Its totient is φ = 6969600.

The previous prime is 28095131. The next prime is 28095149. The reversal of 28095144 is 44159082.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (28095149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42174 + ... + 42834.

It is an arithmetic number, because the mean of its divisors is an integer number (714960).

Almost surely, 228095144 is an apocalyptic number.

28095144 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 28095144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45757440).

28095144 is an abundant number, since it is smaller than the sum of its proper divisors (63419736).

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

28095144 is a wasteful number, since it uses less digits than its factorization.

28095144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 28095144 is about 5300.4852608040. The cubic root of 28095144 is about 304.0024526580.

The spelling of 28095144 in words is "twenty-eight million, ninety-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 23 24 28 33 42 44 46 56 66 69 77 84 88 92 132 138 154 161 168 184 231 253 264 276 308 322 462 483 506 552 616 644 661 759 924 966 1012 1288 1322 1518 1771 1848 1932 1983 2024 2644 3036 3542 3864 3966 4627 5288 5313 6072 7084 7271 7932 9254 10626 13881 14168 14542 15203 15864 18508 21252 21813 27762 29084 30406 37016 42504 43626 45609 50897 55524 58168 60812 87252 91218 101794 106421 111048 121624 152691 167233 174504 182436 203588 212842 305382 319263 334466 364872 407176 425684 501699 610764 638526 668932 851368 1003398 1170631 1221528 1277052 1337864 2006796 2341262 2554104 3511893 4013592 4682524 7023786 9365048 14047572 28095144