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28403424 = 2532773193
BaseRepresentation
bin110110001011…
…0011011100000
31222110001011200
41230112123200
524232402144
62452441200
7463265550
oct154263340
958401150
1028403424
111503aa05
129619200
135b6637a
143ab5160
152760c69
hex1b166e0

28403424 has 144 divisors (see below), whose sum is σ = 94060512. Its totient is φ = 7962624.

The previous prime is 28403393. The next prime is 28403429. The reversal of 28403424 is 42430482.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28403429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147072 + ... + 147264.

It is an arithmetic number, because the mean of its divisors is an integer number (653198).

Almost surely, 228403424 is an apocalyptic number.

28403424 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 28403424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47030256).

28403424 is an abundant number, since it is smaller than the sum of its proper divisors (65657088).

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

28403424 is a wasteful number, since it uses less digits than its factorization.

28403424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 28403424 is about 5329.4862791830. The cubic root of 28403424 is about 305.1103211052.

The spelling of 28403424 in words is "twenty-eight million, four hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 73 84 96 112 126 144 146 168 193 219 224 252 288 292 336 386 438 504 511 579 584 657 672 772 876 1008 1022 1158 1168 1314 1351 1533 1544 1737 1752 2016 2044 2316 2336 2628 2702 3066 3088 3474 3504 4053 4088 4599 4632 5256 5404 6132 6176 6948 7008 8106 8176 9198 9264 10512 10808 12159 12264 13896 14089 16212 16352 18396 18528 21024 21616 24318 24528 27792 28178 32424 36792 42267 43232 48636 49056 55584 56356 64848 73584 84534 97272 98623 112712 126801 129696 147168 169068 194544 197246 225424 253602 295869 338136 389088 394492 450848 507204 591738 676272 788984 887607 1014408 1183476 1352544 1577968 1775214 2028816 2366952 3155936 3550428 4057632 4733904 7100856 9467808 14201712 28403424