Search a number
-
+
28165788 = 2232732281
BaseRepresentation
bin110101101110…
…0011010011100
31221222222012100
41223130122130
524202301123
62443405100
7461256000
oct153343234
957888170
1028165788
1114998412
129523790
135ab2161
143a52700
152715643
hex1adc69c

28165788 has 72 divisors (see below), whose sum is σ = 83064800. Its totient is φ = 8043840.

The previous prime is 28165759. The next prime is 28165789. The reversal of 28165788 is 88756182.

It is a super-2 number, since 2×281657882 = 1586623227321888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28165789) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11208 + ... + 13488.

Almost surely, 228165788 is an apocalyptic number.

28165788 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 28165788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41532400).

28165788 is an abundant number, since it is smaller than the sum of its proper divisors (54899012).

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

28165788 is a wasteful number, since it uses less digits than its factorization.

28165788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2293 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 28165788 is about 5307.1449951928. The cubic root of 28165788 is about 304.2570396459.

The spelling of 28165788 in words is "twenty-eight million, one hundred sixty-five thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 2281 3087 4116 4562 6174 6843 9124 12348 13686 15967 20529 27372 31934 41058 47901 63868 82116 95802 111769 143703 191604 223538 287406 335307 447076 574812 670614 782383 1005921 1341228 1564766 2011842 2347149 3129532 4023684 4694298 7041447 9388596 14082894 28165788