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28357344 = 2533231427
BaseRepresentation
bin110110000101…
…1001011100000
31222100200222000
41230023023200
524224413334
62451444000
7463014321
oct154131340
958320860
1028357344
1115009324
1295b6600
135b4b3c2
143aa2448
152752299
hex1b0b2e0

28357344 has 96 divisors (see below), whose sum is σ = 86365440. Its totient is φ = 9035136.

The previous prime is 28357333. The next prime is 28357369. The reversal of 28357344 is 44375382.

It is a happy number.

28357344 is a `hidden beast` number, since 2 + 83 + 573 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 28357299 and 28357308.

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, 19159 + ... + 20585.

It is an arithmetic number, because the mean of its divisors is an integer number (899640).

Almost surely, 228357344 is an apocalyptic number.

28357344 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 28357344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43182720).

28357344 is an abundant number, since it is smaller than the sum of its proper divisors (58008096).

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

28357344 is a wasteful number, since it uses less digits than its factorization.

28357344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1455 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 28357344 is about 5325.1614060045. The cubic root of 28357344 is about 304.9452342769.

The spelling of 28357344 in words is "twenty-eight million, three hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1427 1656 2208 2484 2854 3312 4281 4968 5708 6624 8562 9936 11416 12843 17124 19872 22832 25686 32821 34248 38529 45664 51372 65642 68496 77058 98463 102744 131284 136992 154116 196926 205488 262568 295389 308232 393852 410976 525136 590778 616464 787704 886167 1050272 1181556 1232928 1575408 1772334 2363112 3150816 3544668 4726224 7089336 9452448 14178672 28357344