Search a number
-
+
28011776 = 281319443
BaseRepresentation
bin110101011011…
…0110100000000
31221201010221012
41222312310000
524132334101
62440220052
7460044662
oct152666400
957633835
1028011776
11148a2731
12946a628
135a5a020
143a12532
1526d4bbb
hex1ab6d00

28011776 has 72 divisors (see below), whose sum is σ = 63527520. Its totient is φ = 12220416.

The previous prime is 28011773. The next prime is 28011793. The reversal of 28011776 is 67711082.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28011773) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 63011 + ... + 63453.

Almost surely, 228011776 is an apocalyptic number.

28011776 is a gapful number since it is divisible by the number (26) 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 28011776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31763760).

28011776 is an abundant number, since it is smaller than the sum of its proper divisors (35515744).

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

28011776 is a wasteful number, since it uses less digits than its factorization.

28011776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 28011776 is about 5292.6152325670. The cubic root of 28011776 is about 303.7014613064.

The spelling of 28011776 in words is "twenty-eight million, eleven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 208 247 256 304 416 443 494 608 832 886 988 1216 1664 1772 1976 2432 3328 3544 3952 4864 5759 7088 7904 8417 11518 14176 15808 16834 23036 28352 31616 33668 46072 56704 63232 67336 92144 109421 113408 134672 184288 218842 269344 368576 437684 538688 737152 875368 1077376 1474304 1750736 2154752 3501472 7002944 14005888 28011776