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28760166 = 23223127547
BaseRepresentation
bin110110110110…
…1100001100110
32000010011112100
41231231201212
524330311131
62504232530
7466312611
oct155554146
960104470
1028760166
1115263a36
12976b746
135c5c866
143b69178
1527d17e6
hex1b6d866

28760166 has 48 divisors (see below), whose sum is σ = 65654784. Its totient is φ = 9081072.

The previous prime is 28760159. The next prime is 28760177. The reversal of 28760166 is 66106782.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 28760166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52305 + ... + 52851.

It is an arithmetic number, because the mean of its divisors is an integer number (1367808).

Almost surely, 228760166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28760166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32827392).

28760166 is an abundant number, since it is smaller than the sum of its proper divisors (36894618).

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

28760166 is a wasteful number, since it uses less digits than its factorization.

28760166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 28760166 is about 5362.8505479829. The cubic root of 28760166 is about 306.3823875216.

The spelling of 28760166 in words is "twenty-eight million, seven hundred sixty thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 46 69 127 138 207 254 381 414 547 762 1094 1143 1641 2286 2921 3282 4923 5842 8763 9846 12581 17526 25162 26289 37743 52578 69469 75486 113229 138938 208407 226458 416814 625221 1250442 1597787 3195574 4793361 9586722 14380083 28760166