Search a number
-
+
28765410 = 2352347887
BaseRepresentation
bin110110110111…
…0110011100010
32000010102201120
41231232303202
524330443120
62504313110
7466334112
oct155566342
960112646
1028765410
1115267973
129772796
135c6206b
143b6b042
1527d3140
hex1b6ece2

28765410 has 64 divisors (see below), whose sum is σ = 73654272. Its totient is φ = 7173056.

The previous prime is 28765403. The next prime is 28765417. The reversal of 28765410 is 1456782.

It is an interprime number because it is at equal distance from previous prime (28765403) and next prime (28765417).

It is not an unprimeable number, because it can be changed into a prime (28765417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31987 + ... + 32873.

It is an arithmetic number, because the mean of its divisors is an integer number (1150848).

Almost surely, 228765410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28765410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36827136).

28765410 is an abundant number, since it is smaller than the sum of its proper divisors (44888862).

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

28765410 is a wasteful number, since it uses less digits than its factorization.

28765410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 28765410 is about 5363.3394447862. The cubic root of 28765410 is about 306.4010078546.

The spelling of 28765410 in words is "twenty-eight million, seven hundred sixty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 47 69 94 115 138 141 230 235 282 345 470 690 705 887 1081 1410 1774 2162 2661 3243 4435 5322 5405 6486 8870 10810 13305 16215 20401 26610 32430 40802 41689 61203 83378 102005 122406 125067 204010 208445 250134 306015 416890 612030 625335 958847 1250670 1917694 2876541 4794235 5753082 9588470 14382705 28765410