Search a number
-
+
28680336 = 24321511319
BaseRepresentation
bin110110101101…
…0000010010000
31222222010000200
41231122002100
524320232321
62502415200
7465531066
oct155320220
958863020
1028680336
1115209a63
129731500
135c32419
143b48036
1527b7d26
hex1b5a090

28680336 has 60 divisors (see below), whose sum is σ = 80857920. Its totient is φ = 9489600.

The previous prime is 28680331. The next prime is 28680341. The reversal of 28680336 is 63308682.

It is an interprime number because it is at equal distance from previous prime (28680331) and next prime (28680341).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 28680336.

It is not an unprimeable number, because it can be changed into a prime (28680331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21085 + ... + 22403.

It is an arithmetic number, because the mean of its divisors is an integer number (1347632).

Almost surely, 228680336 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 28680336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40428960).

28680336 is an abundant number, since it is smaller than the sum of its proper divisors (52177584).

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

28680336 is a wasteful number, since it uses less digits than its factorization.

28680336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 28680336 is about 5355.4025058813. The cubic root of 28680336 is about 306.0986481893.

The spelling of 28680336 in words is "twenty-eight million, six hundred eighty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 302 453 604 906 1208 1319 1359 1812 2416 2638 2718 3624 3957 5276 5436 7248 7914 10552 10872 11871 15828 21104 21744 23742 31656 47484 63312 94968 189936 199169 398338 597507 796676 1195014 1593352 1792521 2390028 3186704 3585042 4780056 7170084 9560112 14340168 28680336