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28953344 = 287107151
BaseRepresentation
bin110111001110…
…0101100000000
32000110222112002
41232130230000
524403001334
62512323132
7501046040
oct156345400
960428462
1028953344
1115386092
1298434a8
135cc9774
143bb9720
15281db7e
hex1b9cb00

28953344 has 72 divisors (see below), whose sum is σ = 67108608. Its totient is φ = 12211200.

The previous prime is 28953341. The next prime is 28953347. The reversal of 28953344 is 44335982.

It is an interprime number because it is at equal distance from previous prime (28953341) and next prime (28953347).

It is a super-2 number, since 2×289533442 = 1676592257564672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 28953298 and 28953307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28953341) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 191669 + ... + 191819.

It is an arithmetic number, because the mean of its divisors is an integer number (932064).

Almost surely, 228953344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28953344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33554304).

28953344 is an abundant number, since it is smaller than the sum of its proper divisors (38155264).

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

28953344 is a wasteful number, since it uses less digits than its factorization.

28953344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 267 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The square root of 28953344 is about 5380.8311625622. The cubic root of 28953344 is about 307.0668331968.

The spelling of 28953344 in words is "twenty-eight million, nine hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 107 112 128 151 214 224 256 302 428 448 604 749 856 896 1057 1208 1498 1712 1792 2114 2416 2996 3424 4228 4832 5992 6848 8456 9664 11984 13696 16157 16912 19328 23968 27392 32314 33824 38656 47936 64628 67648 95872 113099 129256 135296 191744 226198 258512 270592 452396 517024 904792 1034048 1809584 2068096 3619168 4136192 7238336 14476672 28953344