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28481936 = 2472172137
BaseRepresentation
bin110110010100…
…1100110010000
31222121000212112
41230221212100
524242410221
62454244452
7464043500
oct154514620
958530775
1028481936
111509399a
129656728
135b93022
143ad5a00
15277915b
hex1b29990

28481936 has 60 divisors (see below), whose sum is σ = 68001228. Its totient is φ = 11483136.

The previous prime is 28481933. The next prime is 28481939. The reversal of 28481936 is 63918482.

It is an interprime number because it is at equal distance from previous prime (28481933) and next prime (28481939).

It can be written as a sum of positive squares in 2 ways, for example, as 10368400 + 18113536 = 3220^2 + 4256^2 .

It is a super-3 number, since 3×284819363 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 28481893 and 28481902.

It is not an unprimeable number, because it can be changed into a prime (28481933) 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, 12260 + ... + 14396.

Almost surely, 228481936 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 28481936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34000614).

28481936 is an abundant number, since it is smaller than the sum of its proper divisors (39519292).

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

28481936 is a wasteful number, since it uses less digits than its factorization.

28481936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2163 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 28481936 is about 5336.8470092368. The cubic root of 28481936 is about 305.3911884588.

The spelling of 28481936 in words is "twenty-eight million, four hundred eighty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 392 476 784 833 952 1666 1904 2137 3332 4274 6664 8548 13328 14959 17096 29918 34192 36329 59836 72658 104713 119672 145316 209426 239344 254303 290632 418852 508606 581264 837704 1017212 1675408 1780121 2034424 3560242 4068848 7120484 14240968 28481936