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28585650 = 23521491279
BaseRepresentation
bin110110100001…
…0111010110010
31222210022010210
41231002322302
524304220100
62500404550
7464655042
oct155027262
958708123
1028585650
1115154905
1296a6756
135bcb2b2
143b21722
152799c50
hex1b42eb2

28585650 has 48 divisors (see below), whose sum is σ = 71424000. Its totient is φ = 7565760.

The previous prime is 28585649. The next prime is 28585657. The reversal of 28585650 is 5658582.

It is a junction number, because it is equal to n+sod(n) for n = 28585599 and 28585608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28585657) 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 23 ways as a sum of consecutive naturals, for example, 21711 + ... + 22989.

It is an arithmetic number, because the mean of its divisors is an integer number (1488000).

Almost surely, 228585650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28585650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35712000).

28585650 is an abundant number, since it is smaller than the sum of its proper divisors (42838350).

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

28585650 is a wasteful number, since it uses less digits than its factorization.

28585650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The square root of 28585650 is about 5346.5549655830. The cubic root of 28585650 is about 305.7614228213.

The spelling of 28585650 in words is "twenty-eight million, five hundred eighty-five thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 149 150 298 447 745 894 1279 1490 2235 2558 3725 3837 4470 6395 7450 7674 11175 12790 19185 22350 31975 38370 63950 95925 190571 191850 381142 571713 952855 1143426 1905710 2858565 4764275 5717130 9528550 14292825 28585650