Search a number
-
+
28082769 = 311313541
BaseRepresentation
bin110101100100…
…0001001010001
31221211202022120
41223020021101
524142122034
62441524453
7460461651
oct153101121
957752276
1028082769
1114941000
1294a3729
135a83430
143a30361
1526eac49
hex1ac8251

28082769 has 32 divisors (see below), whose sum is σ = 44435328. Its totient is φ = 15681600.

The previous prime is 28082767. The next prime is 28082777. The reversal of 28082769 is 96728082.

It is a happy number.

It is not a de Polignac number, because 28082769 - 21 = 28082767 is a prime.

It is a super-3 number, since 3×280827693 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 28082769.

It is not an unprimeable number, because it can be changed into a prime (28082767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51639 + ... + 52179.

It is an arithmetic number, because the mean of its divisors is an integer number (1388604).

Almost surely, 228082769 is an apocalyptic number.

It is an amenable number.

28082769 is a deficient number, since it is larger than the sum of its proper divisors (16352559).

28082769 is a wasteful number, since it uses less digits than its factorization.

28082769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 28082769 is about 5299.3177862816. The cubic root of 28082769 is about 303.9578116951.

The spelling of 28082769 in words is "twenty-eight million, eighty-two thousand, seven hundred sixty-nine".

Divisors: 1 3 11 13 33 39 121 143 363 429 541 1331 1573 1623 3993 4719 5951 7033 17303 17853 21099 51909 65461 77363 196383 232089 720071 850993 2160213 2552979 9360923 28082769