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28090584 = 2333472767
BaseRepresentation
bin110101100101…
…0000011011000
31221212011001000
41223022003120
524142344314
62442025000
7460523514
oct153120330
957764030
1028090584
1114946965
1294a8160
135a86b62
143a33144
1526ed209
hex1aca0d8

28090584 has 64 divisors (see below), whose sum is σ = 79718400. Its totient is φ = 9160992.

The previous prime is 28090577. The next prime is 28090591. The reversal of 28090584 is 48509082.

It is an interprime number because it is at equal distance from previous prime (28090577) and next prime (28090591).

It is a super-2 number, since 2×280905842 = 1578161818922112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 8769 + ... + 11535.

It is an arithmetic number, because the mean of its divisors is an integer number (1245600).

Almost surely, 228090584 is an apocalyptic number.

28090584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28090584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39859200).

28090584 is an abundant number, since it is smaller than the sum of its proper divisors (51627816).

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

28090584 is a wasteful number, since it uses less digits than its factorization.

28090584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 28090584 is about 5300.0550940533. The cubic root of 28090584 is about 303.9860046650.

The spelling of 28090584 in words is "twenty-eight million, ninety thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 846 1128 1269 1692 2538 2767 3384 5076 5534 8301 10152 11068 16602 22136 24903 33204 49806 66408 74709 99612 130049 149418 199224 260098 298836 390147 520196 597672 780294 1040392 1170441 1560588 2340882 3121176 3511323 4681764 7022646 9363528 14045292 28090584