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28205172 = 2234263331
BaseRepresentation
bin110101110011…
…0000001110100
31222001222020000
41223212001310
524210031142
62444311300
7461511552
oct153460164
958058200
1028205172
1114a14a66
129542530
135ac7068
143a62bd2
15272214c
hex1ae6074

28205172 has 60 divisors (see below), whose sum is σ = 74237856. Its totient is φ = 9337680.

The previous prime is 28205147. The next prime is 28205173. The reversal of 28205172 is 27150282.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28205173) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 85047 + ... + 85377.

Almost surely, 228205172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28205172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37118928).

28205172 is an abundant number, since it is smaller than the sum of its proper divisors (46032684).

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

28205172 is a wasteful number, since it uses less digits than its factorization.

28205172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 28205172 is about 5310.8541685872. The cubic root of 28205172 is about 304.3987870074.

The spelling of 28205172 in words is "twenty-eight million, two hundred five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 263 324 331 526 662 789 993 1052 1324 1578 1986 2367 2979 3156 3972 4734 5958 7101 8937 9468 11916 14202 17874 21303 26811 28404 35748 42606 53622 85212 87053 107244 174106 261159 348212 522318 783477 1044636 1566954 2350431 3133908 4700862 7051293 9401724 14102586 28205172