Search a number
-
+
28106928 = 24321910273
BaseRepresentation
bin110101100111…
…0000010110000
31221212222110100
41223032002300
524143410203
62442232400
7460622253
oct153160260
957788410
1028106928
1114958173
1294b5700
135a91425
143a3909a
152702ea3
hex1ace0b0

28106928 has 60 divisors (see below), whose sum is σ = 82808440. Its totient is φ = 8875008.

The previous prime is 28106927. The next prime is 28106941. The reversal of 28106928 is 82960182.

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

It is a junction number, because it is equal to n+sod(n) for n = 28106892 and 28106901.

It is not an unprimeable number, because it can be changed into a prime (28106927) 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 11 ways as a sum of consecutive naturals, for example, 2401 + ... + 7872.

Almost surely, 228106928 is an apocalyptic number.

It is an amenable number.

28106928 is an abundant number, since it is smaller than the sum of its proper divisors (54701512).

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

28106928 is a wasteful number, since it uses less digits than its factorization.

28106928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10306 (or 10297 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 28106928 is about 5301.5967406056. The cubic root of 28106928 is about 304.0449494938.

The spelling of 28106928 in words is "twenty-eight million, one hundred six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 10273 20546 30819 41092 61638 82184 92457 123276 164368 184914 195187 246552 369828 390374 493104 585561 739656 780748 1171122 1479312 1561496 1756683 2342244 3122992 3513366 4684488 7026732 9368976 14053464 28106928