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9428328 = 23327131439
BaseRepresentation
bin100011111101…
…110101101000
3122202000020100
4203331311220
54403201303
6534025400
7143065560
oct43756550
918660210
109428328
11535a708
1231a8260
131c515c0
141375da0
15c638a3
hex8fdd68

9428328 has 96 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 2484864.

The previous prime is 9428323. The next prime is 9428357. The reversal of 9428328 is 8238249.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 9428292 and 9428301.

It is not an unprimeable number, because it can be changed into a prime (9428323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5833 + ... + 7271.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 29428328 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 9428328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

9428328 is an abundant number, since it is smaller than the sum of its proper divisors (22021272).

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

9428328 is a wasteful number, since it uses less digits than its factorization.

9428328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1464 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 9428328 is about 3070.5582554317. The cubic root of 9428328 is about 211.2572202054.

The spelling of 9428328 in words is "nine million, four hundred twenty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1439 1638 2184 2878 3276 4317 5756 6552 8634 10073 11512 12951 17268 18707 20146 25902 30219 34536 37414 40292 51804 56121 60438 74828 80584 90657 103608 112242 120876 130949 149656 168363 181314 224484 241752 261898 336726 362628 392847 448968 523796 673452 725256 785694 1047592 1178541 1346904 1571388 2357082 3142776 4714164 9428328