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28458600 = 2335247431
BaseRepresentation
bin110110010001…
…1111001101000
31222112211212020
41230203321220
524241133400
62453544440
7463615452
oct154437150
958484766
1028458600
1115078405
129645120
135b85511
143acb2d2
1527722a0
hex1b23e68

28458600 has 48 divisors (see below), whose sum is σ = 88223520. Its totient is φ = 7588800.

The previous prime is 28458559. The next prime is 28458601. The reversal of 28458600 is 685482.

It is not an unprimeable number, because it can be changed into a prime (28458601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23116 + ... + 24315.

It is an arithmetic number, because the mean of its divisors is an integer number (1837990).

Almost surely, 228458600 is an apocalyptic number.

28458600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28458600 is an abundant number, since it is smaller than the sum of its proper divisors (59764920).

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

28458600 is a wasteful number, since it uses less digits than its factorization.

28458600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47450 (or 47441 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 28458600 is about 5334.6602515999. The cubic root of 28458600 is about 305.3077606562.

The spelling of 28458600 in words is "twenty-eight million, four hundred fifty-eight thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 47431 94862 142293 189724 237155 284586 379448 474310 569172 711465 948620 1138344 1185775 1422930 1897240 2371550 2845860 3557325 4743100 5691720 7114650 9486200 14229300 28458600