Search a number
-
+
28761760 = 255672683
BaseRepresentation
bin110110110110…
…1111010100000
32000010020201101
41231231322200
524330334020
62504244144
7466320346
oct155557240
960106641
1028761760
1115265155
129770654
135c604c1
143b69996
1527d200a
hex1b6dea0

28761760 has 48 divisors (see below), whose sum is σ = 68989536. Its totient is φ = 11328768.

The previous prime is 28761751. The next prime is 28761779. The reversal of 28761760 is 6716782.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9379 + ... + 12061.

It is an arithmetic number, because the mean of its divisors is an integer number (1437282).

Almost surely, 228761760 is an apocalyptic number.

28761760 is a gapful number since it is divisible by the number (20) 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 28761760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34494768).

28761760 is an abundant number, since it is smaller than the sum of its proper divisors (40227776).

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

28761760 is a wasteful number, since it uses less digits than its factorization.

28761760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 28761760 is about 5362.9991609173. Note that the first 3 decimals coincide. The cubic root of 28761760 is about 306.3880477173.

The spelling of 28761760 in words is "twenty-eight million, seven hundred sixty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 1072 1340 2144 2680 2683 5360 5366 10720 10732 13415 21464 26830 42928 53660 85856 107320 179761 214640 359522 429280 719044 898805 1438088 1797610 2876176 3595220 5752352 7190440 14380880 28761760