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28084728 = 2337349479
BaseRepresentation
bin110101100100…
…0100111111000
31221211212000010
41223020213320
524142202403
62441541520
7460500450
oct153104770
957755003
1028084728
1114942521
1294a48a0
135a842a9
143a30d60
1526eb603
hex1ac89f8

28084728 has 64 divisors (see below), whose sum is σ = 80640000. Its totient is φ = 7984512.

The previous prime is 28084723. The next prime is 28084741. The reversal of 28084728 is 82748082.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28084723) 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 15 ways as a sum of consecutive naturals, for example, 58393 + ... + 58871.

It is an arithmetic number, because the mean of its divisors is an integer number (1260000).

Almost surely, 228084728 is an apocalyptic number.

28084728 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 28084728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320000).

28084728 is an abundant number, since it is smaller than the sum of its proper divisors (52555272).

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

28084728 is a wasteful number, since it uses less digits than its factorization.

28084728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 28084728 is about 5299.5026181709. The cubic root of 28084728 is about 303.9648793684.

It can be divided in two parts, 280847 and 28, that added together give a triangular number (280875 = T749).

The spelling of 28084728 in words is "twenty-eight million, eighty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 349 479 698 958 1047 1396 1437 1916 2094 2443 2792 2874 3353 3832 4188 4886 5748 6706 7329 8376 9772 10059 11496 13412 14658 19544 20118 26824 29316 40236 58632 80472 167171 334342 501513 668684 1003026 1170197 1337368 2006052 2340394 3510591 4012104 4680788 7021182 9361576 14042364 28084728