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28075432 = 23721117383
BaseRepresentation
bin110101100011…
…0010110101000
31221211101020211
41223012112220
524141403212
62441430504
7460431400
oct153062650
957741224
1028075432
1114936540
12949b434
135a7cca8
143a2b800
1526e89a7
hex1ac65a8

28075432 has 96 divisors (see below), whose sum is σ = 70917120. Its totient is φ = 10268160.

The previous prime is 28075427. The next prime is 28075471. The reversal of 28075432 is 23457082.

It is a junction number, because it is equal to n+sod(n) for n = 28075394 and 28075403.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73113 + ... + 73495.

It is an arithmetic number, because the mean of its divisors is an integer number (738720).

Almost surely, 228075432 is an apocalyptic number.

28075432 is a gapful number since it is divisible by the number (22) 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 28075432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35458560).

28075432 is an abundant number, since it is smaller than the sum of its proper divisors (42841688).

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

28075432 is a wasteful number, since it uses less digits than its factorization.

28075432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 28075432 is about 5298.6254821416. The cubic root of 28075432 is about 303.9313383713.

The spelling of 28075432 in words is "twenty-eight million, seventy-five thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 49 56 68 77 88 98 119 136 154 187 196 238 308 374 383 392 476 539 616 748 766 833 952 1078 1309 1496 1532 1666 2156 2618 2681 3064 3332 4213 4312 5236 5362 6511 6664 8426 9163 10472 10724 13022 16852 18326 18767 21448 26044 29491 33704 36652 37534 45577 52088 58982 71621 73304 75068 91154 117964 143242 150136 182308 206437 235928 286484 319039 364616 412874 501347 572968 638078 825748 1002694 1276156 1651496 2005388 2552312 3509429 4010776 7018858 14037716 28075432