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28983296 = 2142961
BaseRepresentation
bin110111010010…
…0000000000000
32000112111121102
41232210000000
524404431141
62513113532
7501232256
oct156440000
960474542
1028983296
11153a6641
1298588a8
13600a2a4
143bc65d6
15282799b
hex1ba4000

28983296 has 60 divisors (see below), whose sum is σ = 60946620. Its totient is φ = 13762560.

The previous prime is 28983293. The next prime is 28983313. The reversal of 28983296 is 69238982.

It can be written as a sum of positive squares in 2 ways, for example, as 6553600 + 22429696 = 2560^2 + 4736^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28983296.

It is not an unprimeable number, because it can be changed into a prime (28983293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 475106 + ... + 475166.

It is an arithmetic number, because the mean of its divisors is an integer number (1015777).

Almost surely, 228983296 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 28983296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30473310).

28983296 is an abundant number, since it is smaller than the sum of its proper divisors (31963324).

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

28983296 is an frugal number, since it uses more digits than its factorization.

28983296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 92 counting only the distinct ones).

The product of its digits is 373248, while the sum is 47.

The square root of 28983296 is about 5383.6136562722. The cubic root of 28983296 is about 307.1726827561.

The spelling of 28983296 in words is "twenty-eight million, nine hundred eighty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 61 64 116 122 128 232 244 256 464 488 512 928 976 1024 1769 1856 1952 2048 3538 3712 3904 4096 7076 7424 7808 8192 14152 14848 15616 16384 28304 29696 31232 56608 59392 62464 113216 118784 124928 226432 237568 249856 452864 475136 499712 905728 999424 1811456 3622912 7245824 14491648 28983296