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28295460 = 2233561859
BaseRepresentation
bin110101111110…
…0000100100100
31222020120002000
41223330010210
524220423320
62450245300
7462336024
oct153740444
958216060
1028295460
1114a76886
129586830
135b2919b
143a87a84
15273dc90
hex1afc124

28295460 has 96 divisors (see below), whose sum is σ = 89577600. Its totient is φ = 7413120.

The previous prime is 28295459. The next prime is 28295461. The reversal of 28295460 is 6459282.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28295459) and next prime (28295461).

It is a super-2 number, since 2×282954602 = 1601266113223200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (28295461) 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, 32511 + ... + 33369.

It is an arithmetic number, because the mean of its divisors is an integer number (933100).

Almost surely, 228295460 is an apocalyptic number.

28295460 is a gapful number since it is divisible by the number (20) 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 28295460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44788800).

28295460 is an abundant number, since it is smaller than the sum of its proper divisors (61282140).

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

28295460 is a wasteful number, since it uses less digits than its factorization.

28295460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 28295460 is about 5319.3477043713. The cubic root of 28295460 is about 304.7232462203.

The spelling of 28295460 in words is "twenty-eight million, two hundred ninety-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 90 108 122 135 180 183 244 270 305 366 540 549 610 732 859 915 1098 1220 1647 1718 1830 2196 2577 2745 3294 3436 3660 4295 5154 5490 6588 7731 8235 8590 10308 10980 12885 15462 16470 17180 23193 25770 30924 32940 38655 46386 51540 52399 77310 92772 104798 115965 154620 157197 209596 231930 261995 314394 463860 471591 523990 628788 785985 943182 1047980 1414773 1571970 1886364 2357955 2829546 3143940 4715910 5659092 7073865 9431820 14147730 28295460