Search a number
-
+
28866460 = 22574147107
BaseRepresentation
bin110111000011…
…1011110011100
32000022120100011
41232013132130
524342211320
62510413004
7500234530
oct156073634
960276304
1028866460
1115326887
129801164
135c9905c
143b95bc0
15280305a
hex1b8779c

28866460 has 96 divisors (see below), whose sum is σ = 73156608. Its totient is φ = 9361920.

The previous prime is 28866443. The next prime is 28866473. The reversal of 28866460 is 6466882.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269727 + ... + 269833.

It is an arithmetic number, because the mean of its divisors is an integer number (762048).

Almost surely, 228866460 is an apocalyptic number.

28866460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28866460 is the 4387-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28866460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36578304).

28866460 is an abundant number, since it is smaller than the sum of its proper divisors (44290148).

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

28866460 is a wasteful number, since it uses less digits than its factorization.

28866460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 28866460 is about 5372.7516227721. The cubic root of 28866460 is about 306.7593738826.

The spelling of 28866460 in words is "twenty-eight million, eight hundred sixty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 47 70 82 94 107 140 164 188 205 214 235 287 329 410 428 470 535 574 658 749 820 940 1070 1148 1316 1435 1498 1645 1927 2140 2870 2996 3290 3745 3854 4387 5029 5740 6580 7490 7708 8774 9635 10058 13489 14980 17548 19270 20116 21935 25145 26978 30709 35203 38540 43870 50290 53956 61418 67445 70406 87740 100580 122836 134890 140812 153545 176015 206189 269780 307090 352030 412378 614180 704060 824756 1030945 1443323 2061890 2886646 4123780 5773292 7216615 14433230 28866460