Search a number
-
+
28334328 = 233113887
BaseRepresentation
bin110110000010…
…1100011111000
31222022112101120
41230011203320
524223144303
62451145240
7462560241
oct154054370
958275346
1028334328
1114aa3000
1295a5220
135b40a99
143a97cc8
15274a553
hex1b058f8

28334328 has 64 divisors (see below), whose sum is σ = 78001920. Its totient is φ = 8576480.

The previous prime is 28334311. The next prime is 28334333. The reversal of 28334328 is 82343382.

It is a Cunningham number, because it is equal to 53232-1.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31501 + ... + 32387.

It is an arithmetic number, because the mean of its divisors is an integer number (1218780).

Almost surely, 228334328 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 28334328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39000960).

28334328 is an abundant number, since it is smaller than the sum of its proper divisors (49667592).

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

28334328 is a wasteful number, since it uses less digits than its factorization.

28334328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 903 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 28334328 is about 5322.9999060680. Note that the first 4 decimals coincide. The cubic root of 28334328 is about 304.8627098670.

The spelling of 28334328 in words is "twenty-eight million, three hundred thirty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 887 968 1331 1452 1774 2661 2662 2904 3548 3993 5322 5324 7096 7986 9757 10644 10648 15972 19514 21288 29271 31944 39028 58542 78056 107327 117084 214654 234168 321981 429308 643962 858616 1180597 1287924 2361194 2575848 3541791 4722388 7083582 9444776 14167164 28334328