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28381590 = 234537947
BaseRepresentation
bin110110001000…
…1000110010110
31222101221020000
41230101012112
524231202330
62452152130
7463145106
oct154210626
958357200
1028381590
1115025566
129608646
135b59453
143aab206
152759560
hex1b11196

28381590 has 80 divisors (see below), whose sum is σ = 78460272. Its totient is φ = 7356096.

The previous prime is 28381589. The next prime is 28381621. The reversal of 28381590 is 9518382.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 29497 + ... + 30443.

Almost surely, 228381590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28381590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39230136).

28381590 is an abundant number, since it is smaller than the sum of its proper divisors (50078682).

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

28381590 is a wasteful number, since it uses less digits than its factorization.

28381590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 28381590 is about 5327.4374703041. The cubic root of 28381590 is about 305.0321205982.

The spelling of 28381590 in words is "twenty-eight million, three hundred eighty-one thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 270 333 370 405 555 666 810 947 999 1110 1665 1894 1998 2841 2997 3330 4735 4995 5682 5994 8523 9470 9990 14205 14985 17046 25569 28410 29970 35039 42615 51138 70078 76707 85230 105117 127845 153414 175195 210234 255690 315351 350390 383535 525585 630702 767070 946053 1051170 1576755 1892106 2838159 3153510 4730265 5676318 9460530 14190795 28381590