Search a number
-
+
28768340 = 2251438417
BaseRepresentation
bin110110110111…
…1100001010100
32000010120202002
41231233201110
524331041330
62504334432
7466345466
oct155574124
960116662
1028768340
111526a097
129774418
135c634b3
143b6c136
1527d3e45
hex1b6f854

28768340 has 12 divisors (see below), whose sum is σ = 60413556. Its totient is φ = 11507328.

The previous prime is 28768307. The next prime is 28768349. The reversal of 28768340 is 4386782.

It can be written as a sum of positive squares in 2 ways, for example, as 16630084 + 12138256 = 4078^2 + 3484^2 .

It is a junction number, because it is equal to n+sod(n) for n = 28768294 and 28768303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28768349) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 719189 + ... + 719228.

It is an arithmetic number, because the mean of its divisors is an integer number (5034463).

Almost surely, 228768340 is an apocalyptic number.

28768340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28768340 is an abundant number, since it is smaller than the sum of its proper divisors (31645216).

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

28768340 is a wasteful number, since it uses less digits than its factorization.

28768340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438426 (or 1438424 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 28768340 is about 5363.6125885451. The cubic root of 28768340 is about 306.4114106784.

It can be divided in two parts, 28 and 768340, that multiplied together give a triangular number (21513520 = T6559).

The spelling of 28768340 in words is "twenty-eight million, seven hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1438417 2876834 5753668 7192085 14384170 28768340