Search a number
-
+
28511728 = 247241887
BaseRepresentation
bin110110011000…
…0110111110000
31222122112201221
41230300313300
524244333403
62455034424
7464226400
oct154606760
958575657
1028511728
1115104313
12966ba14
135ba375b
143b02800
152782dbd
hex1b30df0

28511728 has 60 divisors (see below), whose sum is σ = 65902032. Its totient is φ = 11907840.

The previous prime is 28511713. The next prime is 28511729. The reversal of 28511728 is 82711582.

It is a junction number, because it is equal to n+sod(n) for n = 28511693 and 28511702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28511729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31701 + ... + 32587.

Almost surely, 228511728 is an apocalyptic number.

28511728 is a gapful number since it is divisible by the number (28) 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 28511728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32951016).

28511728 is an abundant number, since it is smaller than the sum of its proper divisors (37390304).

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

28511728 is a wasteful number, since it uses less digits than its factorization.

28511728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 937 counting only the distinct ones).

The product of its digits is 8960, while the sum is 34.

The square root of 28511728 is about 5339.6374408756. The cubic root of 28511728 is about 305.4976307069.

The spelling of 28511728 in words is "twenty-eight million, five hundred eleven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 112 164 196 287 328 392 574 656 784 887 1148 1774 2009 2296 3548 4018 4592 6209 7096 8036 12418 14192 16072 24836 32144 36367 43463 49672 72734 86926 99344 145468 173852 254569 290936 347704 509138 581872 695408 1018276 1781983 2036552 3563966 4073104 7127932 14255864 28511728