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28848448 = 261133989
BaseRepresentation
bin110111000001…
…1000101000000
32000021122122001
41232003011000
524341122243
62510153344
7500131156
oct156030500
960248561
1028848448
11153142a2
1297b2854
135c90ab5
143b8d3d6
1527eca4d
hex1b83140

28848448 has 28 divisors (see below), whose sum is σ = 57767220. Its totient is φ = 14292992.

The previous prime is 28848409. The next prime is 28848451. The reversal of 28848448 is 84484882.

It can be written as a sum of positive squares in 2 ways, for example, as 5345344 + 23503104 = 2312^2 + 4848^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 28848398 and 28848407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5238 + ... + 9226.

It is an arithmetic number, because the mean of its divisors is an integer number (2063115).

Almost surely, 228848448 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 28848448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28883610).

28848448 is an abundant number, since it is smaller than the sum of its proper divisors (28918772).

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

28848448 is a wasteful number, since it uses less digits than its factorization.

28848448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4104 counting only the distinct ones).

The product of its digits is 524288, while the sum is 46.

The square root of 28848448 is about 5371.0751251495. The cubic root of 28848448 is about 306.6955570346.

The spelling of 28848448 in words is "twenty-eight million, eight hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1808 3616 3989 7232 7978 15956 31912 63824 127648 255296 450757 901514 1803028 3606056 7212112 14424224 28848448