Search a number
-
+
28578816 = 210327443
BaseRepresentation
bin110110100000…
…1010000000000
31222202221202200
41231001100000
524304010231
62500313200
7464626110
oct155012000
958687680
1028578816
111514a762
1296a2800
135bc8156
143b1d040
152797be6
hex1b41400

28578816 has 132 divisors (see below), whose sum is σ = 94522272. Its totient is φ = 8146944.

The previous prime is 28578791. The next prime is 28578821. The reversal of 28578816 is 61887582.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64291 + ... + 64733.

Almost surely, 228578816 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 28578816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47261136).

28578816 is an abundant number, since it is smaller than the sum of its proper divisors (65943456).

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

28578816 is a wasteful number, since it uses less digits than its factorization.

28578816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 455 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 28578816 is about 5345.9158242531. The cubic root of 28578816 is about 305.7370546493.

The spelling of 28578816 in words is "twenty-eight million, five hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 443 448 504 512 576 672 768 886 896 1008 1024 1152 1329 1344 1536 1772 1792 2016 2304 2658 2688 3072 3101 3544 3584 3987 4032 4608 5316 5376 6202 7088 7168 7974 8064 9216 9303 10632 10752 12404 14176 15948 16128 18606 21264 21504 24808 27909 28352 31896 32256 37212 42528 49616 55818 56704 63792 64512 74424 85056 99232 111636 113408 127584 148848 170112 198464 223272 226816 255168 297696 340224 396928 446544 453632 510336 595392 680448 793856 893088 1020672 1190784 1360896 1587712 1786176 2041344 2381568 3175424 3572352 4082688 4763136 7144704 9526272 14289408 28578816