Search a number
-
+
28138920 = 23352271033
BaseRepresentation
bin110101101010…
…1110110101000
31221221121100020
41223111312220
524200421140
62443040440
7461114445
oct153256650
957847306
1028138920
111497a207
129510120
135aa2b64
143a469cc
15270c6d0
hex1ad5da8

28138920 has 64 divisors (see below), whose sum is σ = 84870720. Its totient is φ = 7463424.

The previous prime is 28138897. The next prime is 28138937. The reversal of 28138920 is 2983182.

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, 26724 + ... + 27756.

It is an arithmetic number, because the mean of its divisors is an integer number (1326105).

Almost surely, 228138920 is an apocalyptic number.

28138920 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 28138920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42435360).

28138920 is an abundant number, since it is smaller than the sum of its proper divisors (56731800).

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

28138920 is a wasteful number, since it uses less digits than its factorization.

28138920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 28138920 is about 5304.6130867387. The cubic root of 28138920 is about 304.1602629122.

The spelling of 28138920 in words is "twenty-eight million, one hundred thirty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 227 454 681 908 1033 1135 1362 1816 2066 2270 2724 3099 3405 4132 4540 5165 5448 6198 6810 8264 9080 10330 12396 13620 15495 20660 24792 27240 30990 41320 61980 123960 234491 468982 703473 937964 1172455 1406946 1875928 2344910 2813892 3517365 4689820 5627784 7034730 9379640 14069460 28138920