Search a number
-
+
28916300 = 22527101409
BaseRepresentation
bin110111001001…
…1101001001100
32000102002201002
41232103221030
524400310200
62511435432
7500533040
oct156235114
960362632
1028916300
1115360276
129825b78
135cb594a
143baa020
152812bd5
hex1b93a4c

28916300 has 72 divisors (see below), whose sum is σ = 72599520. Its totient is φ = 9792000.

The previous prime is 28916263. The next prime is 28916311. The reversal of 28916300 is 361982.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70496 + ... + 70904.

Almost surely, 228916300 is an apocalyptic number.

28916300 is a gapful number since it is divisible by the number (20) 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 28916300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36299760).

28916300 is an abundant number, since it is smaller than the sum of its proper divisors (43683220).

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

28916300 is a wasteful number, since it uses less digits than its factorization.

28916300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 28916300 is about 5377.3878416941. The cubic root of 28916300 is about 306.9358196782.

The spelling of 28916300 in words is "twenty-eight million, nine hundred sixteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 409 505 700 707 818 1010 1414 1636 2020 2045 2525 2828 2863 3535 4090 5050 5726 7070 8180 10100 10225 11452 14140 14315 17675 20450 28630 35350 40900 41309 57260 70700 71575 82618 143150 165236 206545 286300 289163 413090 578326 826180 1032725 1156652 1445815 2065450 2891630 4130900 5783260 7229075 14458150 28916300