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28338984 = 2334101433
BaseRepresentation
bin110110000011…
…0101100101000
31222022202210000
41230012230220
524223321414
62451223000
7462606642
oct154065450
958282700
1028338984
1114aa6553
1295a7a60
135b42c3b
143a99892
15274bb09
hex1b06b28

28338984 has 80 divisors (see below), whose sum is σ = 80346420. Its totient is φ = 9331200.

The previous prime is 28338943. The next prime is 28339001. The reversal of 28338984 is 48983382.

It can be written as a sum of positive squares in 2 ways, for example, as 28196100 + 142884 = 5310^2 + 378^2 .

It is a nude number because it is divisible by every one of its digits.

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 19 ways as a sum of consecutive naturals, for example, 65232 + ... + 65664.

Almost surely, 228338984 is an apocalyptic number.

28338984 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 28338984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40173210).

28338984 is an abundant number, since it is smaller than the sum of its proper divisors (52007436).

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

28338984 is a wasteful number, since it uses less digits than its factorization.

28338984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 539 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 28338984 is about 5323.4372354711. The cubic root of 28338984 is about 304.8794076695.

The spelling of 28338984 in words is "twenty-eight million, three hundred thirty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 101 108 162 202 216 303 324 404 433 606 648 808 866 909 1212 1299 1732 1818 2424 2598 2727 3464 3636 3897 5196 5454 7272 7794 8181 10392 10908 11691 15588 16362 21816 23382 31176 32724 35073 43733 46764 65448 70146 87466 93528 131199 140292 174932 262398 280584 349864 393597 524796 787194 1049592 1180791 1574388 2361582 3148776 3542373 4723164 7084746 9446328 14169492 28338984