Search a number
-
+
28330776 = 2333314231
BaseRepresentation
bin110110000010…
…0101100011000
31222022100112000
41230010230120
524223041101
62451121000
7462544005
oct154045430
958270460
1028330776
1114aa0371
1295a3160
135b3c296
143a968ac
152749486
hex1b04b18

28330776 has 64 divisors (see below), whose sum is σ = 81254400. Its totient is φ = 9136800.

The previous prime is 28330769. The next prime is 28330777. The reversal of 28330776 is 67703382.

28330776 is a `hidden beast` number, since 283 + 307 + 76 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28330776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28330777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4581 + ... + 8811.

It is an arithmetic number, because the mean of its divisors is an integer number (1269600).

Almost surely, 228330776 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 28330776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40627200).

28330776 is an abundant number, since it is smaller than the sum of its proper divisors (52923624).

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

28330776 is a wasteful number, since it uses less digits than its factorization.

28330776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4277 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 28330776 is about 5322.6662491650. Note that the first 3 decimals coincide. The cubic root of 28330776 is about 304.8499701072.

The spelling of 28330776 in words is "twenty-eight million, three hundred thirty thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 4231 6696 8462 12693 16924 25386 33848 38079 50772 76158 101544 114237 131161 152316 228474 262322 304632 393483 456948 524644 786966 913896 1049288 1180449 1573932 2360898 3147864 3541347 4721796 7082694 9443592 14165388 28330776