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28079352 = 233373379
BaseRepresentation
bin110101100011…
…1010011111000
31221211120122000
41223013103320
524142014402
62441501000
7460446000
oct153072370
957746560
1028079352
1114939484
1294a1760
135a81a02
143a2d000
1526e9c1c
hex1ac74f8

28079352 has 128 divisors (see below), whose sum is σ = 91200000. Its totient is φ = 8001504.

The previous prime is 28079341. The next prime is 28079353. The reversal of 28079352 is 25397082.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28079353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73899 + ... + 74277.

It is an arithmetic number, because the mean of its divisors is an integer number (712500).

Almost surely, 228079352 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 28079352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45600000).

28079352 is an abundant number, since it is smaller than the sum of its proper divisors (63120648).

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

28079352 is a wasteful number, since it uses less digits than its factorization.

28079352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 28079352 is about 5298.9953764841. The cubic root of 28079352 is about 303.9454830679.

The spelling of 28079352 in words is "twenty-eight million, seventy-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 379 392 441 504 588 686 756 758 882 1029 1137 1176 1323 1372 1512 1516 1764 2058 2274 2646 2653 2744 3032 3087 3411 3528 4116 4548 5292 5306 6174 6822 7959 8232 9096 9261 10233 10584 10612 12348 13644 15918 18522 18571 20466 21224 23877 24696 27288 31836 37044 37142 40932 47754 55713 63672 71631 74088 74284 81864 95508 111426 129997 143262 148568 167139 191016 222852 259994 286524 334278 389991 445704 501417 519988 573048 668556 779982 1002834 1039976 1169973 1337112 1559964 2005668 2339946 3119928 3509919 4011336 4679892 7019838 9359784 14039676 28079352