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28632384 = 2632114519
BaseRepresentation
bin110110100111…
…0010101000000
31222212200020200
41231032111000
524312214014
62501405200
7465241224
oct155162500
958780220
1028632384
1115186a30
129709800
135c16651
143b34784
1527a8a09
hex1b4e540

28632384 has 84 divisors (see below), whose sum is σ = 89550240. Its totient is φ = 8674560.

The previous prime is 28632379. The next prime is 28632397. The reversal of 28632384 is 48323682.

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

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

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 11 ways as a sum of consecutive naturals, for example, 4077 + ... + 8595.

Almost surely, 228632384 is an apocalyptic number.

28632384 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 28632384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44775120).

28632384 is an abundant number, since it is smaller than the sum of its proper divisors (60917856).

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

28632384 is a wasteful number, since it uses less digits than its factorization.

28632384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548 (or 4535 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 28632384 is about 5350.9236585846. The cubic root of 28632384 is about 305.9279594604.

The spelling of 28632384 in words is "twenty-eight million, six hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 4519 6336 9038 13557 18076 27114 36152 40671 49709 54228 72304 81342 99418 108456 144608 149127 162684 198836 216912 289216 298254 325368 397672 433824 447381 596508 650736 795344 867648 894762 1193016 1301472 1590688 1789524 2386032 2602944 3181376 3579048 4772064 7158096 9544128 14316192 28632384