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28384344 = 233631157
BaseRepresentation
bin110110001000…
…1110001011000
31222102002000000
41230101301120
524231244334
62452213000
7463156122
oct154216130
958362000
1028384344
111502763a
12960a160
135b5a791
143aac212
15275a299
hex1b11c58

28384344 has 112 divisors (see below), whose sum is σ = 82893120. Its totient is φ = 9097920.

The previous prime is 28384303. The next prime is 28384379. The reversal of 28384344 is 44348382.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 28384299 and 28384308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 180714 + ... + 180870.

Almost surely, 228384344 is an apocalyptic number.

28384344 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 28384344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41446560).

28384344 is an abundant number, since it is smaller than the sum of its proper divisors (54508776).

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

28384344 is a wasteful number, since it uses less digits than its factorization.

28384344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 193 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 28384344 is about 5327.6959372697. The cubic root of 28384344 is about 305.0419865158.

The spelling of 28384344 in words is "twenty-eight million, three hundred eighty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 157 162 186 216 243 248 279 314 324 372 471 486 558 628 648 729 744 837 942 972 1116 1256 1413 1458 1674 1884 1944 2232 2511 2826 2916 3348 3768 4239 4867 5022 5652 5832 6696 7533 8478 9734 10044 11304 12717 14601 15066 16956 19468 20088 22599 25434 29202 30132 33912 38151 38936 43803 45198 50868 58404 60264 76302 87606 90396 101736 114453 116808 131409 152604 175212 180792 228906 262818 305208 350424 394227 457812 525636 788454 915624 1051272 1182681 1576908 2365362 3153816 3548043 4730724 7096086 9461448 14192172 28384344