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28981296 = 2432313643
BaseRepresentation
bin110111010001…
…1100000110000
32000112101212100
41232203200300
524404400141
62513100400
7501223401
oct156434060
960471770
1028981296
11153a5093
129857700
1360093c6
143bc59a8
1528270b6
hex1ba3830

28981296 has 60 divisors (see below), whose sum is σ = 81493048. Its totient is φ = 9614592.

The previous prime is 28981291. The next prime is 28981297. The reversal of 28981296 is 69218982.

28981296 is a `hidden beast` number, since 289 + 81 + 296 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (28981291) 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 11 ways as a sum of consecutive naturals, for example, 44751 + ... + 45393.

Almost surely, 228981296 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 28981296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40746524).

28981296 is an abundant number, since it is smaller than the sum of its proper divisors (52511752).

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

28981296 is a wasteful number, since it uses less digits than its factorization.

28981296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 961 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 28981296 is about 5383.4279042261. The cubic root of 28981296 is about 307.1656170829.

The spelling of 28981296 in words is "twenty-eight million, nine hundred eighty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 313 626 643 939 1252 1286 1878 1929 2504 2572 2817 3756 3858 5008 5144 5634 5787 7512 7716 10288 11268 11574 15024 15432 22536 23148 30864 45072 46296 92592 201259 402518 603777 805036 1207554 1610072 1811331 2415108 3220144 3622662 4830216 7245324 9660432 14490648 28981296