Search a number
-
+
28349984 = 2513232963
BaseRepresentation
bin110110000100…
…1011000100000
31222100022212102
41230021120200
524224144414
62451345532
7462654005
oct154113040
958308772
1028349984
1115003843
1295b22a8
135b47c50
143a9d8ac
15274eede
hex1b09620

28349984 has 48 divisors (see below), whose sum is σ = 62741952. Its totient is φ = 12511488.

The previous prime is 28349929. The next prime is 28349987. The reversal of 28349984 is 48994382.

It is not an unprimeable number, because it can be changed into a prime (28349987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8087 + ... + 11049.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 228349984 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 28349984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31370976).

28349984 is an abundant number, since it is smaller than the sum of its proper divisors (34391968).

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

28349984 is a wasteful number, since it uses less digits than its factorization.

28349984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 3001 counting only the distinct ones).

The product of its digits is 497664, while the sum is 47.

The square root of 28349984 is about 5324.4703022930. The cubic root of 28349984 is about 304.9188496817.

The spelling of 28349984 in words is "twenty-eight million, three hundred forty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1196 2392 2963 4784 5926 9568 11852 23704 38519 47408 68149 77038 94816 136298 154076 272596 308152 545192 616304 885937 1090384 1232608 1771874 2180768 3543748 7087496 14174992 28349984