Search a number
-
+
28037424 = 24353103107
BaseRepresentation
bin110101011110…
…1000100110000
31221202110010010
41222331010300
524134144144
62440534520
7460212522
oct152750460
957673103
1028037424
111490aa28
129481440
135a688bc
143a1ba12
1526dc5b9
hex1abd130

28037424 has 80 divisors (see below), whose sum is σ = 75209472. Its totient is φ = 8995584.

The previous prime is 28037417. The next prime is 28037431. The reversal of 28037424 is 42473082.

It is an interprime number because it is at equal distance from previous prime (28037417) and next prime (28037431).

It is a junction number, because it is equal to n+sod(n) for n = 28037391 and 28037400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261979 + ... + 262085.

Almost surely, 228037424 is an apocalyptic number.

28037424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28037424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37604736).

28037424 is an abundant number, since it is smaller than the sum of its proper divisors (47172048).

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

28037424 is a wasteful number, since it uses less digits than its factorization.

28037424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 28037424 is about 5295.0376769198. The cubic root of 28037424 is about 303.7941242273.

The spelling of 28037424 in words is "twenty-eight million, thirty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 103 106 107 159 206 212 214 309 318 321 412 424 428 618 636 642 824 848 856 1236 1272 1284 1648 1712 2472 2544 2568 4944 5136 5459 5671 10918 11021 11342 16377 17013 21836 22042 22684 32754 33063 34026 43672 44084 45368 65508 66126 68052 87344 88168 90736 131016 132252 136104 176336 262032 264504 272208 529008 584113 1168226 1752339 2336452 3504678 4672904 7009356 9345808 14018712 28037424