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28029792 = 253753787
BaseRepresentation
bin110101011101…
…1001101100000
31221202001122110
41222323031200
524133423132
62440435320
7460151340
oct152731540
957661573
1028029792
111490521a
129478b40
135a6529b
143a18d20
1526da1cc
hex1abb360

28029792 has 96 divisors (see below), whose sum is σ = 85784832. Its totient is φ = 7847424.

The previous prime is 28029713. The next prime is 28029811. The reversal of 28029792 is 29792082.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28029792.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35223 + ... + 36009.

It is an arithmetic number, because the mean of its divisors is an integer number (893592).

Almost surely, 228029792 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 28029792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42892416).

28029792 is an abundant number, since it is smaller than the sum of its proper divisors (57755040).

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

28029792 is a wasteful number, since it uses less digits than its factorization.

28029792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 28029792 is about 5294.3169531111. The cubic root of 28029792 is about 303.7665567022.

The spelling of 28029792 in words is "twenty-eight million, twenty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 84 96 106 112 159 168 212 224 318 336 371 424 636 672 742 787 848 1113 1272 1484 1574 1696 2226 2361 2544 2968 3148 4452 4722 5088 5509 5936 6296 8904 9444 11018 11872 12592 16527 17808 18888 22036 25184 33054 35616 37776 41711 44072 66108 75552 83422 88144 125133 132216 166844 176288 250266 264432 291977 333688 500532 528864 583954 667376 875931 1001064 1167908 1334752 1751862 2002128 2335816 3503724 4004256 4671632 7007448 9343264 14014896 28029792