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28355850 = 23252611033
BaseRepresentation
bin110110000101…
…0110100001010
31222100121220200
41230022310022
524224341400
62451433030
7463010055
oct154126412
958317820
1028355850
1115008196
1295b5776
135b4a813
143aa1a9c
152751b00
hex1b0ad0a

28355850 has 72 divisors (see below), whose sum is σ = 77506572. Its totient is φ = 7430400.

The previous prime is 28355843. The next prime is 28355857. The reversal of 28355850 is 5855382.

It is an interprime number because it is at equal distance from previous prime (28355843) and next prime (28355857).

It can be written as a sum of positive squares in 6 ways, for example, as 10131489 + 18224361 = 3183^2 + 4269^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28355857) 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 35 ways as a sum of consecutive naturals, for example, 26934 + ... + 27966.

Almost surely, 228355850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28355850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38753286).

28355850 is an abundant number, since it is smaller than the sum of its proper divisors (49150722).

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

28355850 is a wasteful number, since it uses less digits than its factorization.

28355850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 28355850 is about 5325.0211267187. The cubic root of 28355850 is about 304.9398788602.

The spelling of 28355850 in words is "twenty-eight million, three hundred fifty-five thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 61 75 90 122 150 183 225 305 366 450 549 610 915 1033 1098 1525 1830 2066 2745 3050 3099 4575 5165 5490 6198 9150 9297 10330 13725 15495 18594 25825 27450 30990 46485 51650 63013 77475 92970 126026 154950 189039 232425 315065 378078 464850 567117 630130 945195 1134234 1575325 1890390 2835585 3150650 4725975 5671170 9451950 14177925 28355850