Search a number
-
+
28968384 = 263312157
BaseRepresentation
bin110111010000…
…0010111000000
32000111202011010
41232200113000
524403442014
62512520520
7501140634
oct156402700
960452133
1028968384
1115396415
129850140
136003573
143bc0dc4
152823359
hex1ba05c0

28968384 has 84 divisors (see below), whose sum is σ = 79702152. Its totient is φ = 9285120.

The previous prime is 28968377. The next prime is 28968389. The reversal of 28968384 is 48386982.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28968389) 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, 184434 + ... + 184590.

Almost surely, 228968384 is an apocalyptic number.

28968384 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 28968384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39851076).

28968384 is an abundant number, since it is smaller than the sum of its proper divisors (50733768).

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

28968384 is a wasteful number, since it uses less digits than its factorization.

28968384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 193 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 28968384 is about 5382.2285347243. The cubic root of 28968384 is about 307.1199932709.

The spelling of 28968384 in words is "twenty-eight million, nine hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 157 186 192 248 314 372 471 496 628 744 942 961 992 1256 1488 1884 1922 1984 2512 2883 2976 3768 3844 4867 5024 5766 5952 7536 7688 9734 10048 11532 14601 15072 15376 19468 23064 29202 30144 30752 38936 46128 58404 61504 77872 92256 116808 150877 155744 184512 233616 301754 311488 452631 467232 603508 905262 934464 1207016 1810524 2414032 3621048 4828064 7242096 9656128 14484192 28968384