Search a number
-
+
28504728 = 23327232459
BaseRepresentation
bin110110010111…
…1001010011000
31222122012010200
41230233022120
524244122403
62454542200
7464200110
oct154571230
958565120
1028504728
11150aa02a
129667960
135ba0505
143b00040
152780ca3
hex1b2f298

28504728 has 96 divisors (see below), whose sum is σ = 92102400. Its totient is φ = 7786944.

The previous prime is 28504703. The next prime is 28504739. The reversal of 28504728 is 82740582.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28504692 and 28504701.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10363 + ... + 12821.

It is an arithmetic number, because the mean of its divisors is an integer number (959400).

Almost surely, 228504728 is an apocalyptic number.

28504728 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 28504728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46051200).

28504728 is an abundant number, since it is smaller than the sum of its proper divisors (63597672).

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

28504728 is a wasteful number, since it uses less digits than its factorization.

28504728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 28504728 is about 5338.9819254236. The cubic root of 28504728 is about 305.4726274469.

The spelling of 28504728 in words is "twenty-eight million, five hundred four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2459 2898 3864 4918 5796 7377 9836 11592 14754 17213 19672 22131 29508 34426 44262 51639 56557 59016 68852 88524 103278 113114 137704 154917 169671 177048 206556 226228 309834 339342 395899 413112 452456 509013 619668 678684 791798 1018026 1187697 1239336 1357368 1583596 2036052 2375394 3167192 3563091 4072104 4750788 7126182 9501576 14252364 28504728