Search a number
-
+
28080432 = 243447461
BaseRepresentation
bin110101100011…
…1100100110000
31221211122010000
41223013210300
524142033212
62441510000
7460452102
oct153074460
957748100
1028080432
111493a276
1294a2300
135a82353
143a2d572
1526ea1dc
hex1ac7930

28080432 has 100 divisors (see below), whose sum is σ = 83182176. Its totient is φ = 9141120.

The previous prime is 28080431. The next prime is 28080457. The reversal of 28080432 is 23408082.

It is a super-2 number, since 2×280804322 = 1577021322613248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 28080396 and 28080405.

It is not an unprimeable number, because it can be changed into a prime (28080431) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60682 + ... + 61142.

Almost surely, 228080432 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 28080432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41591088).

28080432 is an abundant number, since it is smaller than the sum of its proper divisors (55101744).

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

28080432 is a wasteful number, since it uses less digits than its factorization.

28080432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 28080432 is about 5299.0972816132. The cubic root of 28080432 is about 303.9493798448.

The spelling of 28080432 in words is "twenty-eight million, eighty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 81 94 108 141 144 162 188 216 282 324 376 423 432 461 564 648 752 846 922 1128 1269 1296 1383 1692 1844 2256 2538 2766 3384 3688 3807 4149 5076 5532 6768 7376 7614 8298 10152 11064 12447 15228 16596 20304 21667 22128 24894 30456 33192 37341 43334 49788 60912 65001 66384 74682 86668 99576 130002 149364 173336 195003 199152 260004 298728 346672 390006 520008 585009 597456 780012 1040016 1170018 1560024 1755027 2340036 3120048 3510054 4680072 7020108 9360144 14040216 28080432