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28045376 = 2617149173
BaseRepresentation
bin110101011111…
…1000001000000
31221202212000122
41222333001000
524134423001
62441035412
7460244642
oct152770100
957685018
1028045376
11149159a7
129485b68
135a6c3c8
143a20892
1526deb1b
hex1abf040

28045376 has 56 divisors (see below), whose sum is σ = 59664600. Its totient is φ = 13033472.

The previous prime is 28045361. The next prime is 28045379. The reversal of 28045376 is 67354082.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7974976 + 20070400 = 2824^2 + 4480^2 .

It is a super-2 number, since 2×280453762 = 1573086229962752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (28045379) 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 7 ways as a sum of consecutive naturals, for example, 162026 + ... + 162198.

Almost surely, 228045376 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 28045376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29832300).

28045376 is an abundant number, since it is smaller than the sum of its proper divisors (31619224).

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

28045376 is a wasteful number, since it uses less digits than its factorization.

28045376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 28045376 is about 5295.7885154149. The cubic root of 28045376 is about 303.8228423021.

The spelling of 28045376 in words is "twenty-eight million, forty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 149 173 272 298 346 544 596 692 1088 1192 1384 2384 2533 2768 2941 4768 5066 5536 5882 9536 10132 11072 11764 20264 23528 25777 40528 47056 51554 81056 94112 103108 162112 188224 206216 412432 438209 824864 876418 1649728 1752836 3505672 7011344 14022688 28045376