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28483584 = 21331961
BaseRepresentation
bin110110010101…
…0000000000000
31222121010010120
41230222000000
524242433314
62454300240
7464051343
oct154520000
958533116
1028483584
1115095158
129657680
135b939bc
143ad645a
1527798a9
hex1b2a000

28483584 has 112 divisors (see below), whose sum is σ = 81259680. Its totient is φ = 8847360.

The previous prime is 28483579. The next prime is 28483589. The reversal of 28483584 is 48538482.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28483579) and next prime (28483589).

It is a super-2 number, since 2×284835842 = 1622629114970112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28483589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466914 + ... + 466974.

Almost surely, 228483584 is an apocalyptic number.

28483584 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 28483584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40629840).

28483584 is an abundant number, since it is smaller than the sum of its proper divisors (52776096).

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

28483584 is an equidigital number, since it uses as much as digits as its factorization.

28483584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 85 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 28483584 is about 5337.0014052837. The cubic root of 28483584 is about 305.3970784490.

The spelling of 28483584 in words is "twenty-eight million, four hundred eighty-three thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 64 76 96 114 122 128 152 183 192 228 244 256 304 366 384 456 488 512 608 732 768 912 976 1024 1159 1216 1464 1536 1824 1952 2048 2318 2432 2928 3072 3477 3648 3904 4096 4636 4864 5856 6144 6954 7296 7808 8192 9272 9728 11712 12288 13908 14592 15616 18544 19456 23424 24576 27816 29184 31232 37088 38912 46848 55632 58368 62464 74176 77824 93696 111264 116736 124928 148352 155648 187392 222528 233472 249856 296704 374784 445056 466944 499712 593408 749568 890112 1186816 1499136 1780224 2373632 3560448 4747264 7120896 9494528 14241792 28483584