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28735434 = 23271353331
BaseRepresentation
bin110110110011…
…1011111001010
32000001220121100
41231213133022
524324013214
62503522230
7466150530
oct155473712
960056540
1028735434
11152473a2
129759376
135c51520
143b60150
1527c9309
hex1b677ca

28735434 has 96 divisors (see below), whose sum is σ = 78309504. Its totient is φ = 7413120.

The previous prime is 28735403. The next prime is 28735463. The reversal of 28735434 is 43453782.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86649 + ... + 86979.

It is an arithmetic number, because the mean of its divisors is an integer number (815724).

Almost surely, 228735434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28735434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39154752).

28735434 is an abundant number, since it is smaller than the sum of its proper divisors (49574070).

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

28735434 is a wasteful number, since it uses less digits than its factorization.

28735434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 409 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 28735434 is about 5360.5441887928. The cubic root of 28735434 is about 306.2945389061.

It can be divided in two parts, 287 and 35434, that added together give a square (35721 = 1892).

The spelling of 28735434 in words is "twenty-eight million, seven hundred thirty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 53 63 78 91 106 117 126 159 182 234 273 318 331 371 477 546 662 689 742 819 954 993 1113 1378 1638 1986 2067 2226 2317 2979 3339 4134 4303 4634 4823 5958 6201 6678 6951 8606 9646 12402 12909 13902 14469 17543 20853 25818 28938 30121 35086 38727 41706 43407 52629 60242 77454 86814 90363 105258 122801 157887 180726 228059 245602 271089 315774 368403 456118 542178 684177 736806 1105209 1368354 1596413 2052531 2210418 3192826 4105062 4789239 9578478 14367717 28735434