Search a number
-
+
28728540 = 2233553201
BaseRepresentation
bin110110110010…
…1110011011100
32000001120011000
41231211303130
524323303130
62503430300
7466121451
oct155456334
960046130
1028728540
11152421a5
129755390
135c4b349
143b5b828
1527c7260
hex1b65cdc

28728540 has 48 divisors (see below), whose sum is σ = 89379360. Its totient is φ = 7660800.

The previous prime is 28728533. The next prime is 28728547. The reversal of 28728540 is 4582782.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28728533) and next prime (28728547).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28728495 and 28728504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28728547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26061 + ... + 27140.

It is an arithmetic number, because the mean of its divisors is an integer number (1862070).

Almost surely, 228728540 is an apocalyptic number.

28728540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28728540 is an abundant number, since it is smaller than the sum of its proper divisors (60650820).

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

28728540 is a wasteful number, since it uses less digits than its factorization.

28728540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53219 (or 53211 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 28728540 is about 5359.9011184909. The cubic root of 28728540 is about 306.2700422813.

The spelling of 28728540 in words is "twenty-eight million, seven hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 53201 106402 159603 212804 266005 319206 478809 532010 638412 798015 957618 1064020 1436427 1596030 1915236 2394045 2872854 3192060 4788090 5745708 7182135 9576180 14364270 28728540