Search a number
-
+
28348600 = 2352720249
BaseRepresentation
bin110110000100…
…1000010111000
31222100020222011
41230021002320
524224123400
62451335304
7462646660
oct154110270
958306864
1028348600
11150027a5
1295b1534
135b47427
143a9d1a0
15274e8ba
hex1b090b8

28348600 has 48 divisors (see below), whose sum is σ = 75330000. Its totient is φ = 9719040.

The previous prime is 28348561. The next prime is 28348603. The reversal of 28348600 is 684382.

It is a happy number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28348603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8725 + ... + 11524.

It is an arithmetic number, because the mean of its divisors is an integer number (1569375).

Almost surely, 228348600 is an apocalyptic number.

28348600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28348600 is an abundant number, since it is smaller than the sum of its proper divisors (46981400).

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

28348600 is a wasteful number, since it uses less digits than its factorization.

28348600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20272 (or 20263 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 28348600 is about 5324.3403347269. The cubic root of 28348600 is about 304.9138877206.

The spelling of 28348600 in words is "twenty-eight million, three hundred forty-eight thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 20249 40498 80996 101245 141743 161992 202490 283486 404980 506225 566972 708715 809960 1012450 1133944 1417430 2024900 2834860 3543575 4049800 5669720 7087150 14174300 28348600