Search a number
-
+
28848072 = 23311234751
BaseRepresentation
bin110111000001…
…0111111001000
32000021122010010
41232002333020
524341114242
62510151520
7500130111
oct156027710
960248103
1028848072
1115313a90
1297b25a0
135c90886
143b8d208
1527ec89c
hex1b82fc8

28848072 has 64 divisors (see below), whose sum is σ = 82114560. Its totient is φ = 8360000.

The previous prime is 28848041. The next prime is 28848107. The reversal of 28848072 is 27084882.

It is a super-2 number, since 2×288480722 = 1664422516234368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28848072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3697 + ... + 8447.

It is an arithmetic number, because the mean of its divisors is an integer number (1283040).

Almost surely, 228848072 is an apocalyptic number.

28848072 is a gapful number since it is divisible by the number (22) 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 28848072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41057280).

28848072 is an abundant number, since it is smaller than the sum of its proper divisors (53266488).

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

28848072 is a wasteful number, since it uses less digits than its factorization.

28848072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4794 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 28848072 is about 5371.0401227323. The cubic root of 28848072 is about 306.6942245766.

The spelling of 28848072 in words is "twenty-eight million, eight hundred forty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 4751 6072 9502 14253 19004 28506 38008 52261 57012 104522 109273 114024 156783 209044 218546 313566 327819 418088 437092 627132 655638 874184 1202003 1254264 1311276 2404006 2622552 3606009 4808012 7212018 9616024 14424036 28848072