Search a number
-
+
28406784 = 210371321
BaseRepresentation
bin110110001011…
…1010000000000
31222110012210010
41230113100000
524233004114
62452504520
7463311420
oct154272000
958405703
1028406784
111504248a
12961b140
135b67a63
143ab6480
152761c59
hex1b17400

28406784 has 88 divisors (see below), whose sum is σ = 86596288. Its totient is φ = 8110080.

The previous prime is 28406783. The next prime is 28406797. The reversal of 28406784 is 48760482.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28406783) 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, 20844 + ... + 22164.

Almost surely, 228406784 is an apocalyptic number.

28406784 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 28406784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43298144).

28406784 is an abundant number, since it is smaller than the sum of its proper divisors (58189504).

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

28406784 is a wasteful number, since it uses less digits than its factorization.

28406784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 28406784 is about 5329.8014972417. The cubic root of 28406784 is about 305.1223517000.

The spelling of 28406784 in words is "twenty-eight million, four hundred six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1321 1344 1536 1792 2642 2688 3072 3584 3963 5284 5376 7168 7926 9247 10568 10752 15852 18494 21136 21504 27741 31704 36988 42272 55482 63408 73976 84544 110964 126816 147952 169088 221928 253632 295904 338176 443856 507264 591808 676352 887712 1014528 1183616 1352704 1775424 2029056 2367232 3550848 4058112 4734464 7101696 9468928 14203392 28406784